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Finding the Fourth Proportional to 2,253.82, 3,109.96 and 1,258.97

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Solution

The fourth proportional to 2,253.82, 3,109.96 and 1,258.97 is: 1,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.82 : 3,109.96 = 1,258.97 : x
  2. Step 2: Convert to fraction form
    2,253.82/3,109.96 = 1,258.97/x
  3. Step 3: Cross multiply
    2,253.82x = 3,109.96 × 1,258.97
  4. Step 4: Simplify right side
    2,253.82x = 3,915,340.05
  5. Step 5: Solve for x
    x = 3,915,340.05/2,253.82
  6. Step 6: Final answer
    x = 1,737.21

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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.