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Finding the Fourth Proportional to 2,432.16, 3,647.52 and 871.92

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Solution

The fourth proportional to 2,432.16, 3,647.52 and 871.92 is: 1,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.16 : 3,647.52 = 871.92 : x
  2. Step 2: Convert to fraction form
    2,432.16/3,647.52 = 871.92/x
  3. Step 3: Cross multiply
    2,432.16x = 3,647.52 × 871.92
  4. Step 4: Simplify right side
    2,432.16x = 3,180,345.64
  5. Step 5: Solve for x
    x = 3,180,345.64/2,432.16
  6. Step 6: Final answer
    x = 1,307.62

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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.