E) Решим пропорцию:
$$2.4 : k = 3.6 : 1\frac{2}{3}$$
$$2.4 : k = 3.6 : \frac{5}{3}$$
$$k = \frac{2.4 \cdot \frac{5}{3}}{3.6} = \frac{2.4 \cdot 5}{3.6 \cdot 3} = \frac{12}{10.8} = \frac{120}{108} = \frac{60}{54} = \frac{30}{27} = \frac{10}{9} = 1\frac{1}{9}$$
Ответ: $$k = 1\frac{1}{9}$$