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Finding the Fourth Proportional to 2,402.58, 3,614.82 and 1,429.38

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Solution

The fourth proportional to 2,402.58, 3,614.82 and 1,429.38 is: 2,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.58 : 3,614.82 = 1,429.38 : x
  2. Step 2: Convert to fraction form
    2,402.58/3,614.82 = 1,429.38/x
  3. Step 3: Cross multiply
    2,402.58x = 3,614.82 × 1,429.38
  4. Step 4: Simplify right side
    2,402.58x = 5,166,951.41
  5. Step 5: Solve for x
    x = 5,166,951.41/2,402.58
  6. Step 6: Final answer
    x = 2,150.58

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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.