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Finding the Fourth Proportional to 2,702.28, 3,725.13 and 2,170.97

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Solution

The fourth proportional to 2,702.28, 3,725.13 and 2,170.97 is: 2,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.28 : 3,725.13 = 2,170.97 : x
  2. Step 2: Convert to fraction form
    2,702.28/3,725.13 = 2,170.97/x
  3. Step 3: Cross multiply
    2,702.28x = 3,725.13 × 2,170.97
  4. Step 4: Simplify right side
    2,702.28x = 8,087,146.65
  5. Step 5: Solve for x
    x = 8,087,146.65/2,702.28
  6. Step 6: Final answer
    x = 2,992.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.