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Finding the Fourth Proportional to 2,757.78, 3,806.19 and 2,666.66

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Solution

The fourth proportional to 2,757.78, 3,806.19 and 2,666.66 is: 3,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 3,806.19 = 2,666.66 : x
  2. Step 2: Convert to fraction form
    2,757.78/3,806.19 = 2,666.66/x
  3. Step 3: Cross multiply
    2,757.78x = 3,806.19 × 2,666.66
  4. Step 4: Simplify right side
    2,757.78x = 10,149,795.59
  5. Step 5: Solve for x
    x = 10,149,795.59/2,757.78
  6. Step 6: Final answer
    x = 3,680.42

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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.