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Finding the Fourth Proportional to 1,349.72, 1,863.12 and 932.24

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Solution

The fourth proportional to 1,349.72, 1,863.12 and 932.24 is: 1,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.72 : 1,863.12 = 932.24 : x
  2. Step 2: Convert to fraction form
    1,349.72/1,863.12 = 932.24/x
  3. Step 3: Cross multiply
    1,349.72x = 1,863.12 × 932.24
  4. Step 4: Simplify right side
    1,349.72x = 1,736,874.99
  5. Step 5: Solve for x
    x = 1,736,874.99/1,349.72
  6. Step 6: Final answer
    x = 1,286.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.