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Finding the Fourth Proportional to 2,691.72, 4,036.14 and 1,229.58

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Solution

The fourth proportional to 2,691.72, 4,036.14 and 1,229.58 is: 1,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.72 : 4,036.14 = 1,229.58 : x
  2. Step 2: Convert to fraction form
    2,691.72/4,036.14 = 1,229.58/x
  3. Step 3: Cross multiply
    2,691.72x = 4,036.14 × 1,229.58
  4. Step 4: Simplify right side
    2,691.72x = 4,962,757.02
  5. Step 5: Solve for x
    x = 4,962,757.02/2,691.72
  6. Step 6: Final answer
    x = 1,843.71

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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.