Newbie-asker :
CPU: Intel Core i3 4th gen 4170 3.7 GHZ (2 cores)
Ok, the i3 is only really a low powered dual processor too. If that PSU of yours is of reasonable quality, and I know nothing of fujitsu computers and the quality of PSU they use, but if it's reasonable then I'm sure you could run a GTX 750Ti.
If it turns out they use cheap crappy PSUs in their computers, then you would be best to replace it.