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Finding the Fourth Proportional to 2,080.72, 3,119.41 and 1,202.22

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Solution

The fourth proportional to 2,080.72, 3,119.41 and 1,202.22 is: 1,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.72 : 3,119.41 = 1,202.22 : x
  2. Step 2: Convert to fraction form
    2,080.72/3,119.41 = 1,202.22/x
  3. Step 3: Cross multiply
    2,080.72x = 3,119.41 × 1,202.22
  4. Step 4: Simplify right side
    2,080.72x = 3,750,217.09
  5. Step 5: Solve for x
    x = 3,750,217.09/2,080.72
  6. Step 6: Final answer
    x = 1,802.37

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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.