Mr$.$ Coffee opens a savings account that earns interest at an annual effective interest rate of $1\mathrm{.}2\%.$ Coffee makes annual deposits of $100$ into the fund at the end of each year for $n$ years. By the end of year $n,$ Coffee's fund has an accumulated value of $1752\mathrm{.}387756.$ Mr$.$ Donut opens a savings account that earns interest at an annual effective interest rate of $1\%$ for the first $n-3$ years and $100i\%$ thereafter. Donut also makes annual deposits of $100$ into the fund at the end of each year for $n$ years. By the end of year $n,$ Donut's fund has an accumulated value of $1737.133419.$ Find $i.$