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Finding the Fourth Proportional to 2,739.97, 3,776.34 and 2,182.28

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Solution

The fourth proportional to 2,739.97, 3,776.34 and 2,182.28 is: 3,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.97 : 3,776.34 = 2,182.28 : x
  2. Step 2: Convert to fraction form
    2,739.97/3,776.34 = 2,182.28/x
  3. Step 3: Cross multiply
    2,739.97x = 3,776.34 × 2,182.28
  4. Step 4: Simplify right side
    2,739.97x = 8,241,040.70
  5. Step 5: Solve for x
    x = 8,241,040.70/2,739.97
  6. Step 6: Final answer
    x = 3,007.71

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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.