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Finding the Fourth Proportional to 2,568.68, 3,861.56 and 2,109.86

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Solution

The fourth proportional to 2,568.68, 3,861.56 and 2,109.86 is: 3,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.68 : 3,861.56 = 2,109.86 : x
  2. Step 2: Convert to fraction form
    2,568.68/3,861.56 = 2,109.86/x
  3. Step 3: Cross multiply
    2,568.68x = 3,861.56 × 2,109.86
  4. Step 4: Simplify right side
    2,568.68x = 8,147,350.98
  5. Step 5: Solve for x
    x = 8,147,350.98/2,568.68
  6. Step 6: Final answer
    x = 3,171.80

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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.