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Finding the Fourth Proportional to 2,189.97, 3,022.29 and 1,195.27

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Solution

The fourth proportional to 2,189.97, 3,022.29 and 1,195.27 is: 1,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.97 : 3,022.29 = 1,195.27 : x
  2. Step 2: Convert to fraction form
    2,189.97/3,022.29 = 1,195.27/x
  3. Step 3: Cross multiply
    2,189.97x = 3,022.29 × 1,195.27
  4. Step 4: Simplify right side
    2,189.97x = 3,612,452.57
  5. Step 5: Solve for x
    x = 3,612,452.57/2,189.97
  6. Step 6: Final answer
    x = 1,649.54

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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.