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Finding the Fourth Proportional to 2,367.83, 3,552.12 and 724.24

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Solution

The fourth proportional to 2,367.83, 3,552.12 and 724.24 is: 1,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.83 : 3,552.12 = 724.24 : x
  2. Step 2: Convert to fraction form
    2,367.83/3,552.12 = 724.24/x
  3. Step 3: Cross multiply
    2,367.83x = 3,552.12 × 724.24
  4. Step 4: Simplify right side
    2,367.83x = 2,572,591.83
  5. Step 5: Solve for x
    x = 2,572,591.83/2,367.83
  6. Step 6: Final answer
    x = 1,086.48

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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.