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Finding the Fourth Proportional to 3,168.64, 4,745.92 and 2,432.80

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Solution

The fourth proportional to 3,168.64, 4,745.92 and 2,432.80 is: 3,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.64 : 4,745.92 = 2,432.80 : x
  2. Step 2: Convert to fraction form
    3,168.64/4,745.92 = 2,432.80/x
  3. Step 3: Cross multiply
    3,168.64x = 4,745.92 × 2,432.80
  4. Step 4: Simplify right side
    3,168.64x = 11,545,874.18
  5. Step 5: Solve for x
    x = 11,545,874.18/3,168.64
  6. Step 6: Final answer
    x = 3,643.79

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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.