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Finding the Fourth Proportional to 2,116.11, 3,174.13 and 817.86

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Solution

The fourth proportional to 2,116.11, 3,174.13 and 817.86 is: 1,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.11 : 3,174.13 = 817.86 : x
  2. Step 2: Convert to fraction form
    2,116.11/3,174.13 = 817.86/x
  3. Step 3: Cross multiply
    2,116.11x = 3,174.13 × 817.86
  4. Step 4: Simplify right side
    2,116.11x = 2,595,993.96
  5. Step 5: Solve for x
    x = 2,595,993.96/2,116.11
  6. Step 6: Final answer
    x = 1,226.78

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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.