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Finding the Fourth Proportional to 2,961.17, 4,441.76 and 769.74

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Solution

The fourth proportional to 2,961.17, 4,441.76 and 769.74 is: 1,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.17 : 4,441.76 = 769.74 : x
  2. Step 2: Convert to fraction form
    2,961.17/4,441.76 = 769.74/x
  3. Step 3: Cross multiply
    2,961.17x = 4,441.76 × 769.74
  4. Step 4: Simplify right side
    2,961.17x = 3,419,000.34
  5. Step 5: Solve for x
    x = 3,419,000.34/2,961.17
  6. Step 6: Final answer
    x = 1,154.61

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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.