Question about Problem in Finan FM book

[azul673]

I'm having a hard time coming up with the answer given for this problem. It's 6.6 in Finan.

An amount of money is invested for one year at a rate of interest of 3% per
quarter. Let D(k) be the difference between the amount of interest earned
on a compound interest basis, and on a simple interest basis for quarter k,
where k = 1, 2, 3, 4. Find the ratio of D(4) to D(3).
Answer: 1.523

Here's what I'm getting:
Set A(0) = 100
i(1) compound = 3
i(2) compound = 106.09 - 103 = 3.09
i(3) compound = 109.2727 - 106.09 = 3.1827
i(4) compound = 112.55 - 109.2727 = 3.2773

i simple = 3 for all periods

so D(4) = .2773
D(3) = .1827

D(4)/D(3) = 1.5178

[Gandalf]

Easy: carry i(4) compound to 2 more digits, to same accuracy as i(3) compound

[azul673]

Yes, got it! Thank you!