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Finding the Fourth Proportional to 2,367.97, 3,552.72 and 724.51

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Solution

The fourth proportional to 2,367.97, 3,552.72 and 724.51 is: 1,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.97 : 3,552.72 = 724.51 : x
  2. Step 2: Convert to fraction form
    2,367.97/3,552.72 = 724.51/x
  3. Step 3: Cross multiply
    2,367.97x = 3,552.72 × 724.51
  4. Step 4: Simplify right side
    2,367.97x = 2,573,959.78
  5. Step 5: Solve for x
    x = 2,573,959.78/2,367.97
  6. Step 6: Final answer
    x = 1,086.99

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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.