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Finding the Fourth Proportional to 2,080.27, 3,116.22 and 985.69

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Solution

The fourth proportional to 2,080.27, 3,116.22 and 985.69 is: 1,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.27 : 3,116.22 = 985.69 : x
  2. Step 2: Convert to fraction form
    2,080.27/3,116.22 = 985.69/x
  3. Step 3: Cross multiply
    2,080.27x = 3,116.22 × 985.69
  4. Step 4: Simplify right side
    2,080.27x = 3,071,626.89
  5. Step 5: Solve for x
    x = 3,071,626.89/2,080.27
  6. Step 6: Final answer
    x = 1,476.55

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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.