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Finding the Fourth Proportional to 3,471.70, 5,207.55 and 1,163.20

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Solution

The fourth proportional to 3,471.70, 5,207.55 and 1,163.20 is: 1,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.70 : 5,207.55 = 1,163.20 : x
  2. Step 2: Convert to fraction form
    3,471.70/5,207.55 = 1,163.20/x
  3. Step 3: Cross multiply
    3,471.70x = 5,207.55 × 1,163.20
  4. Step 4: Simplify right side
    3,471.70x = 6,057,422.16
  5. Step 5: Solve for x
    x = 6,057,422.16/3,471.70
  6. Step 6: Final answer
    x = 1,744.80

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Similar ratio
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1.5x scale

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.