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Finding the Fourth Proportional to 3,197.72, 4,797.93 and 1,349.24

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Solution

The fourth proportional to 3,197.72, 4,797.93 and 1,349.24 is: 2,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.72 : 4,797.93 = 1,349.24 : x
  2. Step 2: Convert to fraction form
    3,197.72/4,797.93 = 1,349.24/x
  3. Step 3: Cross multiply
    3,197.72x = 4,797.93 × 1,349.24
  4. Step 4: Simplify right side
    3,197.72x = 6,473,535.08
  5. Step 5: Solve for x
    x = 6,473,535.08/3,197.72
  6. Step 6: Final answer
    x = 2,024.43

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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.