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Finding the Fourth Proportional to 2,879.69, 4,315.92 and 1,234.31

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Solution

The fourth proportional to 2,879.69, 4,315.92 and 1,234.31 is: 1,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.69 : 4,315.92 = 1,234.31 : x
  2. Step 2: Convert to fraction form
    2,879.69/4,315.92 = 1,234.31/x
  3. Step 3: Cross multiply
    2,879.69x = 4,315.92 × 1,234.31
  4. Step 4: Simplify right side
    2,879.69x = 5,327,161.64
  5. Step 5: Solve for x
    x = 5,327,161.64/2,879.69
  6. Step 6: Final answer
    x = 1,849.91

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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.