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Finding the Fourth Proportional to 2,252.88, 3,372.24 and 1,432.08

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Solution

The fourth proportional to 2,252.88, 3,372.24 and 1,432.08 is: 2,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.88 : 3,372.24 = 1,432.08 : x
  2. Step 2: Convert to fraction form
    2,252.88/3,372.24 = 1,432.08/x
  3. Step 3: Cross multiply
    2,252.88x = 3,372.24 × 1,432.08
  4. Step 4: Simplify right side
    2,252.88x = 4,829,317.46
  5. Step 5: Solve for x
    x = 4,829,317.46/2,252.88
  6. Step 6: Final answer
    x = 2,143.62

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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.