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Finding the Fourth Proportional to 1,621.74, 2,432.66 and 451.75

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Solution

The fourth proportional to 1,621.74, 2,432.66 and 451.75 is: 677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.74 : 2,432.66 = 451.75 : x
  2. Step 2: Convert to fraction form
    1,621.74/2,432.66 = 451.75/x
  3. Step 3: Cross multiply
    1,621.74x = 2,432.66 × 451.75
  4. Step 4: Simplify right side
    1,621.74x = 1,098,954.16
  5. Step 5: Solve for x
    x = 1,098,954.16/1,621.74
  6. Step 6: Final answer
    x = 677.64

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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.