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Finding the Fourth Proportional to 3,122.97, 4,305.35 and 2,177.39

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Solution

The fourth proportional to 3,122.97, 4,305.35 and 2,177.39 is: 3,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.97 : 4,305.35 = 2,177.39 : x
  2. Step 2: Convert to fraction form
    3,122.97/4,305.35 = 2,177.39/x
  3. Step 3: Cross multiply
    3,122.97x = 4,305.35 × 2,177.39
  4. Step 4: Simplify right side
    3,122.97x = 9,374,393.62
  5. Step 5: Solve for x
    x = 9,374,393.62/3,122.97
  6. Step 6: Final answer
    x = 3,001.76

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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.