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Finding the Fourth Proportional to 2,432, 3,647.76 and 1,132.64

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Solution

The fourth proportional to 2,432, 3,647.76 and 1,132.64 is: 1,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432 : 3,647.76 = 1,132.64 : x
  2. Step 2: Convert to fraction form
    2,432/3,647.76 = 1,132.64/x
  3. Step 3: Cross multiply
    2,432x = 3,647.76 × 1,132.64
  4. Step 4: Simplify right side
    2,432x = 4,131,598.89
  5. Step 5: Solve for x
    x = 4,131,598.89/2,432
  6. Step 6: Final answer
    x = 1,698.85

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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.