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Finding the Fourth Proportional to 2,691.43, 3,715.83 and 2,134.15

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Solution

The fourth proportional to 2,691.43, 3,715.83 and 2,134.15 is: 2,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.43 : 3,715.83 = 2,134.15 : x
  2. Step 2: Convert to fraction form
    2,691.43/3,715.83 = 2,134.15/x
  3. Step 3: Cross multiply
    2,691.43x = 3,715.83 × 2,134.15
  4. Step 4: Simplify right side
    2,691.43x = 7,930,138.59
  5. Step 5: Solve for x
    x = 7,930,138.59/2,691.43
  6. Step 6: Final answer
    x = 2,946.44

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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.