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Finding the Fourth Proportional to 3,301.74, 4,951.52 and 1,546.20

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Solution

The fourth proportional to 3,301.74, 4,951.52 and 1,546.20 is: 2,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.74 : 4,951.52 = 1,546.20 : x
  2. Step 2: Convert to fraction form
    3,301.74/4,951.52 = 1,546.20/x
  3. Step 3: Cross multiply
    3,301.74x = 4,951.52 × 1,546.20
  4. Step 4: Simplify right side
    3,301.74x = 7,656,044.09
  5. Step 5: Solve for x
    x = 7,656,044.09/3,301.74
  6. Step 6: Final answer
    x = 2,318.79

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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.