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Finding the Fourth Proportional to 3,105.98, 4,286.60 and 1,780.12

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Solution

The fourth proportional to 3,105.98, 4,286.60 and 1,780.12 is: 2,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.98 : 4,286.60 = 1,780.12 : x
  2. Step 2: Convert to fraction form
    3,105.98/4,286.60 = 1,780.12/x
  3. Step 3: Cross multiply
    3,105.98x = 4,286.60 × 1,780.12
  4. Step 4: Simplify right side
    3,105.98x = 7,630,662.39
  5. Step 5: Solve for x
    x = 7,630,662.39/3,105.98
  6. Step 6: Final answer
    x = 2,456.76

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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.