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Finding the Fourth Proportional to 3,105.87, 4,286.42 and 1,779.75

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Solution

The fourth proportional to 3,105.87, 4,286.42 and 1,779.75 is: 2,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.87 : 4,286.42 = 1,779.75 : x
  2. Step 2: Convert to fraction form
    3,105.87/4,286.42 = 1,779.75/x
  3. Step 3: Cross multiply
    3,105.87x = 4,286.42 × 1,779.75
  4. Step 4: Simplify right side
    3,105.87x = 7,628,747.10
  5. Step 5: Solve for x
    x = 7,628,747.10/3,105.87
  6. Step 6: Final answer
    x = 2,456.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.