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Finding the Fourth Proportional to 2,664.69, 3,997.03 and 1,432.68

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Solution

The fourth proportional to 2,664.69, 3,997.03 and 1,432.68 is: 2,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.69 : 3,997.03 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    2,664.69/3,997.03 = 1,432.68/x
  3. Step 3: Cross multiply
    2,664.69x = 3,997.03 × 1,432.68
  4. Step 4: Simplify right side
    2,664.69x = 5,726,466.34
  5. Step 5: Solve for x
    x = 5,726,466.34/2,664.69
  6. Step 6: Final answer
    x = 2,149.02

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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.