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Finding the Fourth Proportional to 1,546.92, 2,320.38 and 724.60

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Solution

The fourth proportional to 1,546.92, 2,320.38 and 724.60 is: 1,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.92 : 2,320.38 = 724.60 : x
  2. Step 2: Convert to fraction form
    1,546.92/2,320.38 = 724.60/x
  3. Step 3: Cross multiply
    1,546.92x = 2,320.38 × 724.60
  4. Step 4: Simplify right side
    1,546.92x = 1,681,340.25
  5. Step 5: Solve for x
    x = 1,681,340.25/1,546.92
  6. Step 6: Final answer
    x = 1,086.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.