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Finding the Fourth Proportional to 2,080.73, 3,122.00 and 1,105.69

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Solution

The fourth proportional to 2,080.73, 3,122.00 and 1,105.69 is: 1,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.73 : 3,122.00 = 1,105.69 : x
  2. Step 2: Convert to fraction form
    2,080.73/3,122.00 = 1,105.69/x
  3. Step 3: Cross multiply
    2,080.73x = 3,122.00 × 1,105.69
  4. Step 4: Simplify right side
    2,080.73x = 3,451,943.04
  5. Step 5: Solve for x
    x = 3,451,943.04/2,080.73
  6. Step 6: Final answer
    x = 1,659.01

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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.