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Finding the Fourth Proportional to 2,432.91, 3,649.36 and 701.53

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Solution

The fourth proportional to 2,432.91, 3,649.36 and 701.53 is: 1,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.91 : 3,649.36 = 701.53 : x
  2. Step 2: Convert to fraction form
    2,432.91/3,649.36 = 701.53/x
  3. Step 3: Cross multiply
    2,432.91x = 3,649.36 × 701.53
  4. Step 4: Simplify right side
    2,432.91x = 2,560,135.52
  5. Step 5: Solve for x
    x = 2,560,135.52/2,432.91
  6. Step 6: Final answer
    x = 1,052.29

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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.