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Finding the Fourth Proportional to 2,634.34, 3,951.78 and 854.96

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Solution

The fourth proportional to 2,634.34, 3,951.78 and 854.96 is: 1,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.34 : 3,951.78 = 854.96 : x
  2. Step 2: Convert to fraction form
    2,634.34/3,951.78 = 854.96/x
  3. Step 3: Cross multiply
    2,634.34x = 3,951.78 × 854.96
  4. Step 4: Simplify right side
    2,634.34x = 3,378,613.83
  5. Step 5: Solve for x
    x = 3,378,613.83/2,634.34
  6. Step 6: Final answer
    x = 1,282.53

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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.