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Finding the Fourth Proportional to 1,789.44, 2,469.43 and 1,091.22

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Solution

The fourth proportional to 1,789.44, 2,469.43 and 1,091.22 is: 1,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.44 : 2,469.43 = 1,091.22 : x
  2. Step 2: Convert to fraction form
    1,789.44/2,469.43 = 1,091.22/x
  3. Step 3: Cross multiply
    1,789.44x = 2,469.43 × 1,091.22
  4. Step 4: Simplify right side
    1,789.44x = 2,694,685.95
  5. Step 5: Solve for x
    x = 2,694,685.95/1,789.44
  6. Step 6: Final answer
    x = 1,505.88

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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.