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Finding the Fourth Proportional to 2,960.54, 4,440.70 and 769.22

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Solution

The fourth proportional to 2,960.54, 4,440.70 and 769.22 is: 1,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.54 : 4,440.70 = 769.22 : x
  2. Step 2: Convert to fraction form
    2,960.54/4,440.70 = 769.22/x
  3. Step 3: Cross multiply
    2,960.54x = 4,440.70 × 769.22
  4. Step 4: Simplify right side
    2,960.54x = 3,415,875.25
  5. Step 5: Solve for x
    x = 3,415,875.25/2,960.54
  6. Step 6: Final answer
    x = 1,153.80

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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.