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Finding the Fourth Proportional to 2,161.28, 3,243.18 and 862.58

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Solution

The fourth proportional to 2,161.28, 3,243.18 and 862.58 is: 1,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.28 : 3,243.18 = 862.58 : x
  2. Step 2: Convert to fraction form
    2,161.28/3,243.18 = 862.58/x
  3. Step 3: Cross multiply
    2,161.28x = 3,243.18 × 862.58
  4. Step 4: Simplify right side
    2,161.28x = 2,797,502.20
  5. Step 5: Solve for x
    x = 2,797,502.20/2,161.28
  6. Step 6: Final answer
    x = 1,294.37

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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.