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Finding the Fourth Proportional to 3,221.50, 4,832.97 and 1,169.50

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Solution

The fourth proportional to 3,221.50, 4,832.97 and 1,169.50 is: 1,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.50 : 4,832.97 = 1,169.50 : x
  2. Step 2: Convert to fraction form
    3,221.50/4,832.97 = 1,169.50/x
  3. Step 3: Cross multiply
    3,221.50x = 4,832.97 × 1,169.50
  4. Step 4: Simplify right side
    3,221.50x = 5,652,158.42
  5. Step 5: Solve for x
    x = 5,652,158.42/3,221.50
  6. Step 6: Final answer
    x = 1,754.51

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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.