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Finding the Fourth Proportional to 2,205.57, 3,308.18 and 818.27

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Solution

The fourth proportional to 2,205.57, 3,308.18 and 818.27 is: 1,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.57 : 3,308.18 = 818.27 : x
  2. Step 2: Convert to fraction form
    2,205.57/3,308.18 = 818.27/x
  3. Step 3: Cross multiply
    2,205.57x = 3,308.18 × 818.27
  4. Step 4: Simplify right side
    2,205.57x = 2,706,963.82
  5. Step 5: Solve for x
    x = 2,706,963.82/2,205.57
  6. Step 6: Final answer
    x = 1,227.33

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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.