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Finding the Fourth Proportional to 2,960.26, 4,440.06 and 769.18

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Solution

The fourth proportional to 2,960.26, 4,440.06 and 769.18 is: 1,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.26 : 4,440.06 = 769.18 : x
  2. Step 2: Convert to fraction form
    2,960.26/4,440.06 = 769.18/x
  3. Step 3: Cross multiply
    2,960.26x = 4,440.06 × 769.18
  4. Step 4: Simplify right side
    2,960.26x = 3,415,205.35
  5. Step 5: Solve for x
    x = 3,415,205.35/2,960.26
  6. Step 6: Final answer
    x = 1,153.68

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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.