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Finding the Fourth Proportional to 2,001.01, 2,761.32 and 1,255.36

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Solution

The fourth proportional to 2,001.01, 2,761.32 and 1,255.36 is: 1,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.01 : 2,761.32 = 1,255.36 : x
  2. Step 2: Convert to fraction form
    2,001.01/2,761.32 = 1,255.36/x
  3. Step 3: Cross multiply
    2,001.01x = 2,761.32 × 1,255.36
  4. Step 4: Simplify right side
    2,001.01x = 3,466,450.68
  5. Step 5: Solve for x
    x = 3,466,450.68/2,001.01
  6. Step 6: Final answer
    x = 1,732.35

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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.