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Finding the Fourth Proportional to 2,086.13, 2,863.51 and 1,844.78

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Solution

The fourth proportional to 2,086.13, 2,863.51 and 1,844.78 is: 2,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.13 : 2,863.51 = 1,844.78 : x
  2. Step 2: Convert to fraction form
    2,086.13/2,863.51 = 1,844.78/x
  3. Step 3: Cross multiply
    2,086.13x = 2,863.51 × 1,844.78
  4. Step 4: Simplify right side
    2,086.13x = 5,282,557.75
  5. Step 5: Solve for x
    x = 5,282,557.75/2,086.13
  6. Step 6: Final answer
    x = 2,532.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.