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Finding the Fourth Proportional to 1,621.87, 2,432.60 and 451.96

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Solution

The fourth proportional to 1,621.87, 2,432.60 and 451.96 is: 677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.87 : 2,432.60 = 451.96 : x
  2. Step 2: Convert to fraction form
    1,621.87/2,432.60 = 451.96/x
  3. Step 3: Cross multiply
    1,621.87x = 2,432.60 × 451.96
  4. Step 4: Simplify right side
    1,621.87x = 1,099,437.90
  5. Step 5: Solve for x
    x = 1,099,437.90/1,621.87
  6. Step 6: Final answer
    x = 677.88

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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.