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Finding the Fourth Proportional to 3,163.68, 4,747.14 and 1,704.24

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Solution

The fourth proportional to 3,163.68, 4,747.14 and 1,704.24 is: 2,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.68 : 4,747.14 = 1,704.24 : x
  2. Step 2: Convert to fraction form
    3,163.68/4,747.14 = 1,704.24/x
  3. Step 3: Cross multiply
    3,163.68x = 4,747.14 × 1,704.24
  4. Step 4: Simplify right side
    3,163.68x = 8,090,265.87
  5. Step 5: Solve for x
    x = 8,090,265.87/3,163.68
  6. Step 6: Final answer
    x = 2,557.23

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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.