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Finding the Fourth Proportional to 2,680.92, 4,027.56 and 2,570.21

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Solution

The fourth proportional to 2,680.92, 4,027.56 and 2,570.21 is: 3,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.92 : 4,027.56 = 2,570.21 : x
  2. Step 2: Convert to fraction form
    2,680.92/4,027.56 = 2,570.21/x
  3. Step 3: Cross multiply
    2,680.92x = 4,027.56 × 2,570.21
  4. Step 4: Simplify right side
    2,680.92x = 10,351,654.85
  5. Step 5: Solve for x
    x = 10,351,654.85/2,680.92
  6. Step 6: Final answer
    x = 3,861.23

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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.