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Finding the Fourth Proportional to 2,367.89, 3,552.36 and 724.46

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Solution

The fourth proportional to 2,367.89, 3,552.36 and 724.46 is: 1,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.89 : 3,552.36 = 724.46 : x
  2. Step 2: Convert to fraction form
    2,367.89/3,552.36 = 724.46/x
  3. Step 3: Cross multiply
    2,367.89x = 3,552.36 × 724.46
  4. Step 4: Simplify right side
    2,367.89x = 2,573,542.73
  5. Step 5: Solve for x
    x = 2,573,542.73/2,367.89
  6. Step 6: Final answer
    x = 1,086.85

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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.