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Finding the Fourth Proportional to 2,428.38, 3,641.33 and 966.74

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Solution

The fourth proportional to 2,428.38, 3,641.33 and 966.74 is: 1,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.38 : 3,641.33 = 966.74 : x
  2. Step 2: Convert to fraction form
    2,428.38/3,641.33 = 966.74/x
  3. Step 3: Cross multiply
    2,428.38x = 3,641.33 × 966.74
  4. Step 4: Simplify right side
    2,428.38x = 3,520,203.57
  5. Step 5: Solve for x
    x = 3,520,203.57/2,428.38
  6. Step 6: Final answer
    x = 1,449.61

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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.