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Finding the Fourth Proportional to 2,551.29, 3,826.97 and 702.38

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Solution

The fourth proportional to 2,551.29, 3,826.97 and 702.38 is: 1,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.29 : 3,826.97 = 702.38 : x
  2. Step 2: Convert to fraction form
    2,551.29/3,826.97 = 702.38/x
  3. Step 3: Cross multiply
    2,551.29x = 3,826.97 × 702.38
  4. Step 4: Simplify right side
    2,551.29x = 2,687,995.88
  5. Step 5: Solve for x
    x = 2,687,995.88/2,551.29
  6. Step 6: Final answer
    x = 1,053.58

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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.