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Finding the Fourth Proportional to 2,608.87, 3,914.82 and 966.56

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Solution

The fourth proportional to 2,608.87, 3,914.82 and 966.56 is: 1,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.87 : 3,914.82 = 966.56 : x
  2. Step 2: Convert to fraction form
    2,608.87/3,914.82 = 966.56/x
  3. Step 3: Cross multiply
    2,608.87x = 3,914.82 × 966.56
  4. Step 4: Simplify right side
    2,608.87x = 3,783,908.42
  5. Step 5: Solve for x
    x = 3,783,908.42/2,608.87
  6. Step 6: Final answer
    x = 1,450.40

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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.