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Finding the Fourth Proportional to 2,281.52, 3,422.24 and 742.52

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Solution

The fourth proportional to 2,281.52, 3,422.24 and 742.52 is: 1,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.52 : 3,422.24 = 742.52 : x
  2. Step 2: Convert to fraction form
    2,281.52/3,422.24 = 742.52/x
  3. Step 3: Cross multiply
    2,281.52x = 3,422.24 × 742.52
  4. Step 4: Simplify right side
    2,281.52x = 2,541,081.64
  5. Step 5: Solve for x
    x = 2,541,081.64/2,281.52
  6. Step 6: Final answer
    x = 1,113.77

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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.