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Finding the Fourth Proportional to 2,879.42, 4,318.26 and 798.92

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Solution

The fourth proportional to 2,879.42, 4,318.26 and 798.92 is: 1,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.42 : 4,318.26 = 798.92 : x
  2. Step 2: Convert to fraction form
    2,879.42/4,318.26 = 798.92/x
  3. Step 3: Cross multiply
    2,879.42x = 4,318.26 × 798.92
  4. Step 4: Simplify right side
    2,879.42x = 3,449,944.28
  5. Step 5: Solve for x
    x = 3,449,944.28/2,879.42
  6. Step 6: Final answer
    x = 1,198.14

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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.