A guy who works for a book publisher once told me that they pay about 8 euro's per 1000 words to a good translator for books they translate from foreign languages. So by this calculation you can have a 100.000 words text translated in Romanian for 800 euros.
Facing the Singularity is approximately 14000 words. The hypothetical 10-page primers would probably be even shorter, maybe 3000 words, although hoping to get them down to 10 pages might be optimistic. So if translations to other languages are similarly priced, you're looking at around $600 for all four translations of Facing the Singularity, or around $100 for the shorter primers.
This doesn't include "checks and improvements by multiple translators", but I imagine those can probably obtained more cheaply than an actual translation, and it seems like $2000 is far too high an estimate for the cost.
Series: How to Purchase AI Risk Reduction
Here's another way we might purchase existential risk reduction: the production of short primers on crucial topics.
Resources like The Sequences and NickBostrom.com have been incredibly effective at gathering and creating a community engaged in x-risk reduction (either through direct action or, perhaps more importantly, through donations), but most people who could make a difference probably won't take the time to read The Sequences or academic papers.
One solution? Short primers on crucial topics.
Facing the Singularity is one example. I'm waiting for some work from remote researchers before I write the last chapter, but once it's complete we'll produce a PDF version and a Kindle version. Already, several people (including Jaan Tallinn) use it as a standard introduction they send to AI risk newbies.
These could even be printed and left lying around wherever we think is most important: say, at the top math, computer science, and formal philosophy departments in the English-speaking world.
The major difficulty in executing such a project would be in finding good writers with the relevant knowledge. Eliezer, Yvain, and myself might qualify, but right now the three of us are otherwise occupied. The time investment of the primary author(s) could be minimized by outsourcing as much of the work as possible to SI's team of remote researchers, writers, and editors.
Estimated cost per primer: