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Finding the Fourth Proportional to 2,081.83, 3,122.77 and 911.59

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Solution

The fourth proportional to 2,081.83, 3,122.77 and 911.59 is: 1,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.83 : 3,122.77 = 911.59 : x
  2. Step 2: Convert to fraction form
    2,081.83/3,122.77 = 911.59/x
  3. Step 3: Cross multiply
    2,081.83x = 3,122.77 × 911.59
  4. Step 4: Simplify right side
    2,081.83x = 2,846,685.90
  5. Step 5: Solve for x
    x = 2,846,685.90/2,081.83
  6. Step 6: Final answer
    x = 1,367.40

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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.