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Finding the Fourth Proportional to 2,367.56, 3,551.46 and 724.16

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Solution

The fourth proportional to 2,367.56, 3,551.46 and 724.16 is: 1,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.56 : 3,551.46 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,367.56/3,551.46 = 724.16/x
  3. Step 3: Cross multiply
    2,367.56x = 3,551.46 × 724.16
  4. Step 4: Simplify right side
    2,367.56x = 2,571,825.27
  5. Step 5: Solve for x
    x = 2,571,825.27/2,367.56
  6. Step 6: Final answer
    x = 1,086.28

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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.