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Finding the Fourth Proportional to 2,432.45, 3,647.92 and 1,599.47

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Solution

The fourth proportional to 2,432.45, 3,647.92 and 1,599.47 is: 2,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.45 : 3,647.92 = 1,599.47 : x
  2. Step 2: Convert to fraction form
    2,432.45/3,647.92 = 1,599.47/x
  3. Step 3: Cross multiply
    2,432.45x = 3,647.92 × 1,599.47
  4. Step 4: Simplify right side
    2,432.45x = 5,834,733.04
  5. Step 5: Solve for x
    x = 5,834,733.04/2,432.45
  6. Step 6: Final answer
    x = 2,398.70

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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.