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Finding the Fourth Proportional to 2,614.14, 3,607.68 and 1,494.78

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Solution

The fourth proportional to 2,614.14, 3,607.68 and 1,494.78 is: 2,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.14 : 3,607.68 = 1,494.78 : x
  2. Step 2: Convert to fraction form
    2,614.14/3,607.68 = 1,494.78/x
  3. Step 3: Cross multiply
    2,614.14x = 3,607.68 × 1,494.78
  4. Step 4: Simplify right side
    2,614.14x = 5,392,687.91
  5. Step 5: Solve for x
    x = 5,392,687.91/2,614.14
  6. Step 6: Final answer
    x = 2,062.89

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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.