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Finding the Fourth Proportional to 2,206.73, 3,310.09 and 563.27

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Solution

The fourth proportional to 2,206.73, 3,310.09 and 563.27 is: 844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.73 : 3,310.09 = 563.27 : x
  2. Step 2: Convert to fraction form
    2,206.73/3,310.09 = 563.27/x
  3. Step 3: Cross multiply
    2,206.73x = 3,310.09 × 563.27
  4. Step 4: Simplify right side
    2,206.73x = 1,864,480.21
  5. Step 5: Solve for x
    x = 1,864,480.21/2,206.73
  6. Step 6: Final answer
    x = 844.91

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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.