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Finding the Fourth Proportional to 3,129.38, 4,692.80 and 1,154.55

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Solution

The fourth proportional to 3,129.38, 4,692.80 and 1,154.55 is: 1,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.38 : 4,692.80 = 1,154.55 : x
  2. Step 2: Convert to fraction form
    3,129.38/4,692.80 = 1,154.55/x
  3. Step 3: Cross multiply
    3,129.38x = 4,692.80 × 1,154.55
  4. Step 4: Simplify right side
    3,129.38x = 5,418,066.47
  5. Step 5: Solve for x
    x = 5,418,066.47/3,129.38
  6. Step 6: Final answer
    x = 1,731.36

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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.