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Finding the Fourth Proportional to 2,769.73, 3,816.72 and 2,735.24

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Solution

The fourth proportional to 2,769.73, 3,816.72 and 2,735.24 is: 3,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.73 : 3,816.72 = 2,735.24 : x
  2. Step 2: Convert to fraction form
    2,769.73/3,816.72 = 2,735.24/x
  3. Step 3: Cross multiply
    2,769.73x = 3,816.72 × 2,735.24
  4. Step 4: Simplify right side
    2,769.73x = 10,439,626.13
  5. Step 5: Solve for x
    x = 10,439,626.13/2,769.73
  6. Step 6: Final answer
    x = 3,769.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.