3.120 Решите пропорцию: 1) 2\frac{7}{12} = \frac{y}{2,2}; 2) \frac{2\frac{3}{4}}{4\frac{1}{8}} = \frac{1,6}{t}.

Решим пропорции.

1. $$2\frac{7}{12} = \frac{y}{2,2}$$

   $$y = 2\frac{7}{12} \cdot 2,2$$

   $$y = \frac{31}{12} \cdot \frac{22}{10}$$

   $$y = \frac{31 \cdot 11}{6 \cdot 10}$$

   $$y = \frac{341}{60}$$

   $$y = 5\frac{41}{60}$$

2. $$\frac{2\frac{3}{4}}{4\frac{1}{8}} = \frac{1,6}{t}$$

   $$t = \frac{1,6 \cdot 4\frac{1}{8}}{2\frac{3}{4}}$$

   $$t = \frac{1,6 \cdot \frac{33}{8}}{\frac{11}{4}}$$

   $$t = \frac{1,6 \cdot 33 \cdot 4}{8 \cdot 11}$$

   $$t = \frac{1,6 \cdot 3 \cdot 4}{8}$$

   $$t = \frac{1,6 \cdot 3}{2}$$

   $$t = 0,8 \cdot 3$$

   $$t = 2,4$$

Ответ: 1) $$y = 5\frac{41}{60}$$; 2) $$t = 2,4$$.