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Finding the Fourth Proportional to 2,769.50, 4,152.89 and 919.97

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Solution

The fourth proportional to 2,769.50, 4,152.89 and 919.97 is: 1,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.50 : 4,152.89 = 919.97 : x
  2. Step 2: Convert to fraction form
    2,769.50/4,152.89 = 919.97/x
  3. Step 3: Cross multiply
    2,769.50x = 4,152.89 × 919.97
  4. Step 4: Simplify right side
    2,769.50x = 3,820,546.90
  5. Step 5: Solve for x
    x = 3,820,546.90/2,769.50
  6. Step 6: Final answer
    x = 1,379.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.