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Finding the Fourth Proportional to 2,205.92, 3,308.87 and 800.21

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Solution

The fourth proportional to 2,205.92, 3,308.87 and 800.21 is: 1,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.92 : 3,308.87 = 800.21 : x
  2. Step 2: Convert to fraction form
    2,205.92/3,308.87 = 800.21/x
  3. Step 3: Cross multiply
    2,205.92x = 3,308.87 × 800.21
  4. Step 4: Simplify right side
    2,205.92x = 2,647,801.14
  5. Step 5: Solve for x
    x = 2,647,801.14/2,205.92
  6. Step 6: Final answer
    x = 1,200.32

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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.