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Finding the Fourth Proportional to 2,080.27, 3,120.71 and 984.54

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Solution

The fourth proportional to 2,080.27, 3,120.71 and 984.54 is: 1,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.27 : 3,120.71 = 984.54 : x
  2. Step 2: Convert to fraction form
    2,080.27/3,120.71 = 984.54/x
  3. Step 3: Cross multiply
    2,080.27x = 3,120.71 × 984.54
  4. Step 4: Simplify right side
    2,080.27x = 3,072,463.82
  5. Step 5: Solve for x
    x = 3,072,463.82/2,080.27
  6. Step 6: Final answer
    x = 1,476.95

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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.