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Finding the Fourth Proportional to 3,169.50, 4,752.81 and 1,220.28

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Solution

The fourth proportional to 3,169.50, 4,752.81 and 1,220.28 is: 1,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.50 : 4,752.81 = 1,220.28 : x
  2. Step 2: Convert to fraction form
    3,169.50/4,752.81 = 1,220.28/x
  3. Step 3: Cross multiply
    3,169.50x = 4,752.81 × 1,220.28
  4. Step 4: Simplify right side
    3,169.50x = 5,799,758.99
  5. Step 5: Solve for x
    x = 5,799,758.99/3,169.50
  6. Step 6: Final answer
    x = 1,829.87

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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.