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Finding the Fourth Proportional to 2,001.07, 2,761.35 and 1,255

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Solution

The fourth proportional to 2,001.07, 2,761.35 and 1,255 is: 1,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.07 : 2,761.35 = 1,255 : x
  2. Step 2: Convert to fraction form
    2,001.07/2,761.35 = 1,255/x
  3. Step 3: Cross multiply
    2,001.07x = 2,761.35 × 1,255
  4. Step 4: Simplify right side
    2,001.07x = 3,465,494.25
  5. Step 5: Solve for x
    x = 3,465,494.25/2,001.07
  6. Step 6: Final answer
    x = 1,731.82

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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.