During the last four years, a certain mutual fund had the following rates of return:

Year	Rate of Return
2014	3.9%
2015	2.9%
2016	4.5%
2017	3.9%

At the beginning of 2014, Alice invested $2,761 in this fund. At the beginning of 2015, Bob decided to invest some money in this fund as well. How much did Bob invest in 2015 if, at the end of 2017, Alice has 23% more than Bob in the fund?