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Finding the Fourth Proportional to 2,027.74, 3,039.82 and 796.04

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Solution

The fourth proportional to 2,027.74, 3,039.82 and 796.04 is: 1,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.74 : 3,039.82 = 796.04 : x
  2. Step 2: Convert to fraction form
    2,027.74/3,039.82 = 796.04/x
  3. Step 3: Cross multiply
    2,027.74x = 3,039.82 × 796.04
  4. Step 4: Simplify right side
    2,027.74x = 2,419,818.31
  5. Step 5: Solve for x
    x = 2,419,818.31/2,027.74
  6. Step 6: Final answer
    x = 1,193.36

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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.