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Finding the Fourth Proportional to 2,520.96, 3,781.72 and 672.14

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Solution

The fourth proportional to 2,520.96, 3,781.72 and 672.14 is: 1,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.96 : 3,781.72 = 672.14 : x
  2. Step 2: Convert to fraction form
    2,520.96/3,781.72 = 672.14/x
  3. Step 3: Cross multiply
    2,520.96x = 3,781.72 × 672.14
  4. Step 4: Simplify right side
    2,520.96x = 2,541,845.28
  5. Step 5: Solve for x
    x = 2,541,845.28/2,520.96
  6. Step 6: Final answer
    x = 1,008.28

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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.