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Finding the Fourth Proportional to 2,679.52, 3,694.08 and 1,781.41

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Solution

The fourth proportional to 2,679.52, 3,694.08 and 1,781.41 is: 2,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.52 : 3,694.08 = 1,781.41 : x
  2. Step 2: Convert to fraction form
    2,679.52/3,694.08 = 1,781.41/x
  3. Step 3: Cross multiply
    2,679.52x = 3,694.08 × 1,781.41
  4. Step 4: Simplify right side
    2,679.52x = 6,580,671.05
  5. Step 5: Solve for x
    x = 6,580,671.05/2,679.52
  6. Step 6: Final answer
    x = 2,455.91

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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.