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Finding the Fourth Proportional to 3,414.70, 5,123.58 and 1,658.74

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Solution

The fourth proportional to 3,414.70, 5,123.58 and 1,658.74 is: 2,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.70 : 5,123.58 = 1,658.74 : x
  2. Step 2: Convert to fraction form
    3,414.70/5,123.58 = 1,658.74/x
  3. Step 3: Cross multiply
    3,414.70x = 5,123.58 × 1,658.74
  4. Step 4: Simplify right side
    3,414.70x = 8,498,687.09
  5. Step 5: Solve for x
    x = 8,498,687.09/3,414.70
  6. Step 6: Final answer
    x = 2,488.85

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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.