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Finding the Fourth Proportional to 2,756.97, 4,134.65 and 2,729.03

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Solution

The fourth proportional to 2,756.97, 4,134.65 and 2,729.03 is: 4,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.97 : 4,134.65 = 2,729.03 : x
  2. Step 2: Convert to fraction form
    2,756.97/4,134.65 = 2,729.03/x
  3. Step 3: Cross multiply
    2,756.97x = 4,134.65 × 2,729.03
  4. Step 4: Simplify right side
    2,756.97x = 11,283,549.57
  5. Step 5: Solve for x
    x = 11,283,549.57/2,756.97
  6. Step 6: Final answer
    x = 4,092.74

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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.