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Finding the Fourth Proportional to 2,960.69, 4,441.26 and 769.43

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Solution

The fourth proportional to 2,960.69, 4,441.26 and 769.43 is: 1,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.69 : 4,441.26 = 769.43 : x
  2. Step 2: Convert to fraction form
    2,960.69/4,441.26 = 769.43/x
  3. Step 3: Cross multiply
    2,960.69x = 4,441.26 × 769.43
  4. Step 4: Simplify right side
    2,960.69x = 3,417,252.67
  5. Step 5: Solve for x
    x = 3,417,252.67/2,960.69
  6. Step 6: Final answer
    x = 1,154.21

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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.