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Finding the Fourth Proportional to 2,639.80, 3,959.16 and 908.56

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Solution

The fourth proportional to 2,639.80, 3,959.16 and 908.56 is: 1,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.80 : 3,959.16 = 908.56 : x
  2. Step 2: Convert to fraction form
    2,639.80/3,959.16 = 908.56/x
  3. Step 3: Cross multiply
    2,639.80x = 3,959.16 × 908.56
  4. Step 4: Simplify right side
    2,639.80x = 3,597,134.41
  5. Step 5: Solve for x
    x = 3,597,134.41/2,639.80
  6. Step 6: Final answer
    x = 1,362.65

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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.