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Finding the Fourth Proportional to 2,864.97, 4,299.68 and 1,993.61

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Solution

The fourth proportional to 2,864.97, 4,299.68 and 1,993.61 is: 2,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.97 : 4,299.68 = 1,993.61 : x
  2. Step 2: Convert to fraction form
    2,864.97/4,299.68 = 1,993.61/x
  3. Step 3: Cross multiply
    2,864.97x = 4,299.68 × 1,993.61
  4. Step 4: Simplify right side
    2,864.97x = 8,571,900.78
  5. Step 5: Solve for x
    x = 8,571,900.78/2,864.97
  6. Step 6: Final answer
    x = 2,991.97

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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.