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Finding the Fourth Proportional to 2,734.59, 4,120.34 and 2,258.31

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Solution

The fourth proportional to 2,734.59, 4,120.34 and 2,258.31 is: 3,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.59 : 4,120.34 = 2,258.31 : x
  2. Step 2: Convert to fraction form
    2,734.59/4,120.34 = 2,258.31/x
  3. Step 3: Cross multiply
    2,734.59x = 4,120.34 × 2,258.31
  4. Step 4: Simplify right side
    2,734.59x = 9,305,010.67
  5. Step 5: Solve for x
    x = 9,305,010.67/2,734.59
  6. Step 6: Final answer
    x = 3,402.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.