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Finding the Fourth Proportional to 3,197.28, 4,796.63 and 1,249.50

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Solution

The fourth proportional to 3,197.28, 4,796.63 and 1,249.50 is: 1,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.28 : 4,796.63 = 1,249.50 : x
  2. Step 2: Convert to fraction form
    3,197.28/4,796.63 = 1,249.50/x
  3. Step 3: Cross multiply
    3,197.28x = 4,796.63 × 1,249.50
  4. Step 4: Simplify right side
    3,197.28x = 5,993,389.19
  5. Step 5: Solve for x
    x = 5,993,389.19/3,197.28
  6. Step 6: Final answer
    x = 1,874.53

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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.