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Finding the Fourth Proportional to 2,044.22, 3,066.61 and 811.75

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Solution

The fourth proportional to 2,044.22, 3,066.61 and 811.75 is: 1,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.22 : 3,066.61 = 811.75 : x
  2. Step 2: Convert to fraction form
    2,044.22/3,066.61 = 811.75/x
  3. Step 3: Cross multiply
    2,044.22x = 3,066.61 × 811.75
  4. Step 4: Simplify right side
    2,044.22x = 2,489,310.97
  5. Step 5: Solve for x
    x = 2,489,310.97/2,044.22
  6. Step 6: Final answer
    x = 1,217.73

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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.