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Finding the Fourth Proportional to 2,786.31, 3,839.13 and 1,998.99

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Solution

The fourth proportional to 2,786.31, 3,839.13 and 1,998.99 is: 2,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.31 : 3,839.13 = 1,998.99 : x
  2. Step 2: Convert to fraction form
    2,786.31/3,839.13 = 1,998.99/x
  3. Step 3: Cross multiply
    2,786.31x = 3,839.13 × 1,998.99
  4. Step 4: Simplify right side
    2,786.31x = 7,674,382.48
  5. Step 5: Solve for x
    x = 7,674,382.48/2,786.31
  6. Step 6: Final answer
    x = 2,754.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.