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Finding the Fourth Proportional to 2,879.96, 4,319.80 and 932.12

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Solution

The fourth proportional to 2,879.96, 4,319.80 and 932.12 is: 1,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.96 : 4,319.80 = 932.12 : x
  2. Step 2: Convert to fraction form
    2,879.96/4,319.80 = 932.12/x
  3. Step 3: Cross multiply
    2,879.96x = 4,319.80 × 932.12
  4. Step 4: Simplify right side
    2,879.96x = 4,026,571.98
  5. Step 5: Solve for x
    x = 4,026,571.98/2,879.96
  6. Step 6: Final answer
    x = 1,398.13

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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.