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Finding the Fourth Proportional to 2,229.01, 3,076.17 and 1,432.80

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Solution

The fourth proportional to 2,229.01, 3,076.17 and 1,432.80 is: 1,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.01 : 3,076.17 = 1,432.80 : x
  2. Step 2: Convert to fraction form
    2,229.01/3,076.17 = 1,432.80/x
  3. Step 3: Cross multiply
    2,229.01x = 3,076.17 × 1,432.80
  4. Step 4: Simplify right side
    2,229.01x = 4,407,536.38
  5. Step 5: Solve for x
    x = 4,407,536.38/2,229.01
  6. Step 6: Final answer
    x = 1,977.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.