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Finding the Fourth Proportional to 3,197.43, 4,796.73 and 1,249.51

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Solution

The fourth proportional to 3,197.43, 4,796.73 and 1,249.51 is: 1,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.43 : 4,796.73 = 1,249.51 : x
  2. Step 2: Convert to fraction form
    3,197.43/4,796.73 = 1,249.51/x
  3. Step 3: Cross multiply
    3,197.43x = 4,796.73 × 1,249.51
  4. Step 4: Simplify right side
    3,197.43x = 5,993,562.10
  5. Step 5: Solve for x
    x = 5,993,562.10/3,197.43
  6. Step 6: Final answer
    x = 1,874.49

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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.