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Finding the Fourth Proportional to 1,658.29, 2,488.64 and 1,337.53

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Solution

The fourth proportional to 1,658.29, 2,488.64 and 1,337.53 is: 2,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.29 : 2,488.64 = 1,337.53 : x
  2. Step 2: Convert to fraction form
    1,658.29/2,488.64 = 1,337.53/x
  3. Step 3: Cross multiply
    1,658.29x = 2,488.64 × 1,337.53
  4. Step 4: Simplify right side
    1,658.29x = 3,328,630.66
  5. Step 5: Solve for x
    x = 3,328,630.66/1,658.29
  6. Step 6: Final answer
    x = 2,007.27

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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.