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Finding the Fourth Proportional to 2,671.97, 3,687.32 and 1,789.88

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Solution

The fourth proportional to 2,671.97, 3,687.32 and 1,789.88 is: 2,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.97 : 3,687.32 = 1,789.88 : x
  2. Step 2: Convert to fraction form
    2,671.97/3,687.32 = 1,789.88/x
  3. Step 3: Cross multiply
    2,671.97x = 3,687.32 × 1,789.88
  4. Step 4: Simplify right side
    2,671.97x = 6,599,832.94
  5. Step 5: Solve for x
    x = 6,599,832.94/2,671.97
  6. Step 6: Final answer
    x = 2,470.03

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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.