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Finding the Fourth Proportional to 2,879.75, 4,308.69 and 1,781.39

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Solution

The fourth proportional to 2,879.75, 4,308.69 and 1,781.39 is: 2,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.75 : 4,308.69 = 1,781.39 : x
  2. Step 2: Convert to fraction form
    2,879.75/4,308.69 = 1,781.39/x
  3. Step 3: Cross multiply
    2,879.75x = 4,308.69 × 1,781.39
  4. Step 4: Simplify right side
    2,879.75x = 7,675,474.73
  5. Step 5: Solve for x
    x = 7,675,474.73/2,879.75
  6. Step 6: Final answer
    x = 2,665.32

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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.