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Finding the Fourth Proportional to 2,367.87, 3,551.71 and 724.42

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Solution

The fourth proportional to 2,367.87, 3,551.71 and 724.42 is: 1,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.87 : 3,551.71 = 724.42 : x
  2. Step 2: Convert to fraction form
    2,367.87/3,551.71 = 724.42/x
  3. Step 3: Cross multiply
    2,367.87x = 3,551.71 × 724.42
  4. Step 4: Simplify right side
    2,367.87x = 2,572,929.76
  5. Step 5: Solve for x
    x = 2,572,929.76/2,367.87
  6. Step 6: Final answer
    x = 1,086.60

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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.