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Finding the Fourth Proportional to 2,671.97, 4,002.51 and 2,180.13

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Solution

The fourth proportional to 2,671.97, 4,002.51 and 2,180.13 is: 3,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.97 : 4,002.51 = 2,180.13 : x
  2. Step 2: Convert to fraction form
    2,671.97/4,002.51 = 2,180.13/x
  3. Step 3: Cross multiply
    2,671.97x = 4,002.51 × 2,180.13
  4. Step 4: Simplify right side
    2,671.97x = 8,725,992.13
  5. Step 5: Solve for x
    x = 8,725,992.13/2,671.97
  6. Step 6: Final answer
    x = 3,265.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.