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Finding the Fourth Proportional to 1,472.80, 2,209.17 and 692.62

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Solution

The fourth proportional to 1,472.80, 2,209.17 and 692.62 is: 1,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.80 : 2,209.17 = 692.62 : x
  2. Step 2: Convert to fraction form
    1,472.80/2,209.17 = 692.62/x
  3. Step 3: Cross multiply
    1,472.80x = 2,209.17 × 692.62
  4. Step 4: Simplify right side
    1,472.80x = 1,530,115.33
  5. Step 5: Solve for x
    x = 1,530,115.33/1,472.80
  6. Step 6: Final answer
    x = 1,038.92

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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.