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Finding the Fourth Proportional to 3,196.75, 4,797.30 and 1,144.75

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Solution

The fourth proportional to 3,196.75, 4,797.30 and 1,144.75 is: 1,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.75 : 4,797.30 = 1,144.75 : x
  2. Step 2: Convert to fraction form
    3,196.75/4,797.30 = 1,144.75/x
  3. Step 3: Cross multiply
    3,196.75x = 4,797.30 × 1,144.75
  4. Step 4: Simplify right side
    3,196.75x = 5,491,709.18
  5. Step 5: Solve for x
    x = 5,491,709.18/3,196.75
  6. Step 6: Final answer
    x = 1,717.90

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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.