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Finding the Fourth Proportional to 2,960.94, 4,441.38 and 769.47

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Solution

The fourth proportional to 2,960.94, 4,441.38 and 769.47 is: 1,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.94 : 4,441.38 = 769.47 : x
  2. Step 2: Convert to fraction form
    2,960.94/4,441.38 = 769.47/x
  3. Step 3: Cross multiply
    2,960.94x = 4,441.38 × 769.47
  4. Step 4: Simplify right side
    2,960.94x = 3,417,508.67
  5. Step 5: Solve for x
    x = 3,417,508.67/2,960.94
  6. Step 6: Final answer
    x = 1,154.20

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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.