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Finding the Fourth Proportional to 2,757.31, 3,793.80 and 2,383.09

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Solution

The fourth proportional to 2,757.31, 3,793.80 and 2,383.09 is: 3,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.31 : 3,793.80 = 2,383.09 : x
  2. Step 2: Convert to fraction form
    2,757.31/3,793.80 = 2,383.09/x
  3. Step 3: Cross multiply
    2,757.31x = 3,793.80 × 2,383.09
  4. Step 4: Simplify right side
    2,757.31x = 9,040,966.84
  5. Step 5: Solve for x
    x = 9,040,966.84/2,757.31
  6. Step 6: Final answer
    x = 3,278.91

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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.