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Finding the Fourth Proportional to 2,198.13, 3,295.63 and 811.27

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Solution

The fourth proportional to 2,198.13, 3,295.63 and 811.27 is: 1,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.13 : 3,295.63 = 811.27 : x
  2. Step 2: Convert to fraction form
    2,198.13/3,295.63 = 811.27/x
  3. Step 3: Cross multiply
    2,198.13x = 3,295.63 × 811.27
  4. Step 4: Simplify right side
    2,198.13x = 2,673,645.75
  5. Step 5: Solve for x
    x = 2,673,645.75/2,198.13
  6. Step 6: Final answer
    x = 1,216.33

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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.