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Finding the Fourth Proportional to 2,781.83, 3,843.80 and 2,189.03

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Solution

The fourth proportional to 2,781.83, 3,843.80 and 2,189.03 is: 3,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.83 : 3,843.80 = 2,189.03 : x
  2. Step 2: Convert to fraction form
    2,781.83/3,843.80 = 2,189.03/x
  3. Step 3: Cross multiply
    2,781.83x = 3,843.80 × 2,189.03
  4. Step 4: Simplify right side
    2,781.83x = 8,414,208.60
  5. Step 5: Solve for x
    x = 8,414,208.60/2,781.83
  6. Step 6: Final answer
    x = 3,024.71

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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.