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Finding the Fourth Proportional to 2,767.73, 4,152.20 and 919.10

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Solution

The fourth proportional to 2,767.73, 4,152.20 and 919.10 is: 1,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.73 : 4,152.20 = 919.10 : x
  2. Step 2: Convert to fraction form
    2,767.73/4,152.20 = 919.10/x
  3. Step 3: Cross multiply
    2,767.73x = 4,152.20 × 919.10
  4. Step 4: Simplify right side
    2,767.73x = 3,816,287.02
  5. Step 5: Solve for x
    x = 3,816,287.02/2,767.73
  6. Step 6: Final answer
    x = 1,378.85

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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.