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Finding the Fourth Proportional to 2,367.49, 3,551.24 and 724.03

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Solution

The fourth proportional to 2,367.49, 3,551.24 and 724.03 is: 1,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.49 : 3,551.24 = 724.03 : x
  2. Step 2: Convert to fraction form
    2,367.49/3,551.24 = 724.03/x
  3. Step 3: Cross multiply
    2,367.49x = 3,551.24 × 724.03
  4. Step 4: Simplify right side
    2,367.49x = 2,571,189.18
  5. Step 5: Solve for x
    x = 2,571,189.18/2,367.49
  6. Step 6: Final answer
    x = 1,086.04

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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.