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Finding the Fourth Proportional to 2,739.26, 3,781.42 and 1,902.80

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Solution

The fourth proportional to 2,739.26, 3,781.42 and 1,902.80 is: 2,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.26 : 3,781.42 = 1,902.80 : x
  2. Step 2: Convert to fraction form
    2,739.26/3,781.42 = 1,902.80/x
  3. Step 3: Cross multiply
    2,739.26x = 3,781.42 × 1,902.80
  4. Step 4: Simplify right side
    2,739.26x = 7,195,285.98
  5. Step 5: Solve for x
    x = 7,195,285.98/2,739.26
  6. Step 6: Final answer
    x = 2,626.73

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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.