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Finding the Fourth Proportional to 1,672.26, 2,508.39 and 517.92

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Solution

The fourth proportional to 1,672.26, 2,508.39 and 517.92 is: 776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.26 : 2,508.39 = 517.92 : x
  2. Step 2: Convert to fraction form
    1,672.26/2,508.39 = 517.92/x
  3. Step 3: Cross multiply
    1,672.26x = 2,508.39 × 517.92
  4. Step 4: Simplify right side
    1,672.26x = 1,299,145.35
  5. Step 5: Solve for x
    x = 1,299,145.35/1,672.26
  6. Step 6: Final answer
    x = 776.88

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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.