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Finding the Fourth Proportional to 2,761.82, 4,142.73 and 2,273.85

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Solution

The fourth proportional to 2,761.82, 4,142.73 and 2,273.85 is: 3,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.82 : 4,142.73 = 2,273.85 : x
  2. Step 2: Convert to fraction form
    2,761.82/4,142.73 = 2,273.85/x
  3. Step 3: Cross multiply
    2,761.82x = 4,142.73 × 2,273.85
  4. Step 4: Simplify right side
    2,761.82x = 9,419,936.51
  5. Step 5: Solve for x
    x = 9,419,936.51/2,761.82
  6. Step 6: Final answer
    x = 3,410.77

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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.