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Finding the Fourth Proportional to 2,729.94, 3,757.89 and 2,380.02

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Solution

The fourth proportional to 2,729.94, 3,757.89 and 2,380.02 is: 3,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.94 : 3,757.89 = 2,380.02 : x
  2. Step 2: Convert to fraction form
    2,729.94/3,757.89 = 2,380.02/x
  3. Step 3: Cross multiply
    2,729.94x = 3,757.89 × 2,380.02
  4. Step 4: Simplify right side
    2,729.94x = 8,943,853.36
  5. Step 5: Solve for x
    x = 8,943,853.36/2,729.94
  6. Step 6: Final answer
    x = 3,276.21

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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.