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Finding the Fourth Proportional to 2,086.92, 3,142.71 and 1,816.27

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Solution

The fourth proportional to 2,086.92, 3,142.71 and 1,816.27 is: 2,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.92 : 3,142.71 = 1,816.27 : x
  2. Step 2: Convert to fraction form
    2,086.92/3,142.71 = 1,816.27/x
  3. Step 3: Cross multiply
    2,086.92x = 3,142.71 × 1,816.27
  4. Step 4: Simplify right side
    2,086.92x = 5,707,995.22
  5. Step 5: Solve for x
    x = 5,707,995.22/2,086.92
  6. Step 6: Final answer
    x = 2,735.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.