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Finding the Fourth Proportional to 2,520.32, 3,781.57 and 875.97

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Solution

The fourth proportional to 2,520.32, 3,781.57 and 875.97 is: 1,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.32 : 3,781.57 = 875.97 : x
  2. Step 2: Convert to fraction form
    2,520.32/3,781.57 = 875.97/x
  3. Step 3: Cross multiply
    2,520.32x = 3,781.57 × 875.97
  4. Step 4: Simplify right side
    2,520.32x = 3,312,553.86
  5. Step 5: Solve for x
    x = 3,312,553.86/2,520.32
  6. Step 6: Final answer
    x = 1,314.34

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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.