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Finding the Fourth Proportional to 2,551.25, 3,828.92 and 991.97

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Solution

The fourth proportional to 2,551.25, 3,828.92 and 991.97 is: 1,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.25 : 3,828.92 = 991.97 : x
  2. Step 2: Convert to fraction form
    2,551.25/3,828.92 = 991.97/x
  3. Step 3: Cross multiply
    2,551.25x = 3,828.92 × 991.97
  4. Step 4: Simplify right side
    2,551.25x = 3,798,180.38
  5. Step 5: Solve for x
    x = 3,798,180.38/2,551.25
  6. Step 6: Final answer
    x = 1,488.75

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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.