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Finding the Fourth Proportional to 2,716.62, 4,072.43 and 960.35

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Solution

The fourth proportional to 2,716.62, 4,072.43 and 960.35 is: 1,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.62 : 4,072.43 = 960.35 : x
  2. Step 2: Convert to fraction form
    2,716.62/4,072.43 = 960.35/x
  3. Step 3: Cross multiply
    2,716.62x = 4,072.43 × 960.35
  4. Step 4: Simplify right side
    2,716.62x = 3,910,932.99
  5. Step 5: Solve for x
    x = 3,910,932.99/2,716.62
  6. Step 6: Final answer
    x = 1,439.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.