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Finding the Fourth Proportional to 2,734.26, 4,096.99 and 1,638.10

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Solution

The fourth proportional to 2,734.26, 4,096.99 and 1,638.10 is: 2,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.26 : 4,096.99 = 1,638.10 : x
  2. Step 2: Convert to fraction form
    2,734.26/4,096.99 = 1,638.10/x
  3. Step 3: Cross multiply
    2,734.26x = 4,096.99 × 1,638.10
  4. Step 4: Simplify right side
    2,734.26x = 6,711,279.32
  5. Step 5: Solve for x
    x = 6,711,279.32/2,734.26
  6. Step 6: Final answer
    x = 2,454.51

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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.