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Finding the Fourth Proportional to 2,842.92, 4,263.09 and 1,198.57

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Solution

The fourth proportional to 2,842.92, 4,263.09 and 1,198.57 is: 1,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.92 : 4,263.09 = 1,198.57 : x
  2. Step 2: Convert to fraction form
    2,842.92/4,263.09 = 1,198.57/x
  3. Step 3: Cross multiply
    2,842.92x = 4,263.09 × 1,198.57
  4. Step 4: Simplify right side
    2,842.92x = 5,109,611.78
  5. Step 5: Solve for x
    x = 5,109,611.78/2,842.92
  6. Step 6: Final answer
    x = 1,797.31

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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.