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Finding the Fourth Proportional to 2,757.72, 3,811.11 and 2,259.57

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Solution

The fourth proportional to 2,757.72, 3,811.11 and 2,259.57 is: 3,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.72 : 3,811.11 = 2,259.57 : x
  2. Step 2: Convert to fraction form
    2,757.72/3,811.11 = 2,259.57/x
  3. Step 3: Cross multiply
    2,757.72x = 3,811.11 × 2,259.57
  4. Step 4: Simplify right side
    2,757.72x = 8,611,469.82
  5. Step 5: Solve for x
    x = 8,611,469.82/2,757.72
  6. Step 6: Final answer
    x = 3,122.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.