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Finding the Fourth Proportional to 3,115.68, 4,659.76 and 2,771.44

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Solution

The fourth proportional to 3,115.68, 4,659.76 and 2,771.44 is: 4,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.68 : 4,659.76 = 2,771.44 : x
  2. Step 2: Convert to fraction form
    3,115.68/4,659.76 = 2,771.44/x
  3. Step 3: Cross multiply
    3,115.68x = 4,659.76 × 2,771.44
  4. Step 4: Simplify right side
    3,115.68x = 12,914,245.25
  5. Step 5: Solve for x
    x = 12,914,245.25/3,115.68
  6. Step 6: Final answer
    x = 4,144.92

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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.