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Finding the Fourth Proportional to 2,205.13, 3,308.27 and 818.87

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Solution

The fourth proportional to 2,205.13, 3,308.27 and 818.87 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.13 : 3,308.27 = 818.87 : x
  2. Step 2: Convert to fraction form
    2,205.13/3,308.27 = 818.87/x
  3. Step 3: Cross multiply
    2,205.13x = 3,308.27 × 818.87
  4. Step 4: Simplify right side
    2,205.13x = 2,709,043.05
  5. Step 5: Solve for x
    x = 2,709,043.05/2,205.13
  6. Step 6: Final answer
    x = 1,228.52

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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.