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Finding the Fourth Proportional to 2,757.89, 4,131.62 and 2,138.56

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Solution

The fourth proportional to 2,757.89, 4,131.62 and 2,138.56 is: 3,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.89 : 4,131.62 = 2,138.56 : x
  2. Step 2: Convert to fraction form
    2,757.89/4,131.62 = 2,138.56/x
  3. Step 3: Cross multiply
    2,757.89x = 4,131.62 × 2,138.56
  4. Step 4: Simplify right side
    2,757.89x = 8,835,717.27
  5. Step 5: Solve for x
    x = 8,835,717.27/2,757.89
  6. Step 6: Final answer
    x = 3,203.80

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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.