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Finding the Fourth Proportional to 2,524.38, 3,787.68 and 882.12

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Solution

The fourth proportional to 2,524.38, 3,787.68 and 882.12 is: 1,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.38 : 3,787.68 = 882.12 : x
  2. Step 2: Convert to fraction form
    2,524.38/3,787.68 = 882.12/x
  3. Step 3: Cross multiply
    2,524.38x = 3,787.68 × 882.12
  4. Step 4: Simplify right side
    2,524.38x = 3,341,188.28
  5. Step 5: Solve for x
    x = 3,341,188.28/2,524.38
  6. Step 6: Final answer
    x = 1,323.57

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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.