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Finding the Fourth Proportional to 3,075.80, 4,613.77 and 1,227.79

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Solution

The fourth proportional to 3,075.80, 4,613.77 and 1,227.79 is: 1,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.80 : 4,613.77 = 1,227.79 : x
  2. Step 2: Convert to fraction form
    3,075.80/4,613.77 = 1,227.79/x
  3. Step 3: Cross multiply
    3,075.80x = 4,613.77 × 1,227.79
  4. Step 4: Simplify right side
    3,075.80x = 5,664,740.67
  5. Step 5: Solve for x
    x = 5,664,740.67/3,075.80
  6. Step 6: Final answer
    x = 1,841.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.