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Finding the Fourth Proportional to 3,267, 4,900.46 and 801.80

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Solution

The fourth proportional to 3,267, 4,900.46 and 801.80 is: 1,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267 : 4,900.46 = 801.80 : x
  2. Step 2: Convert to fraction form
    3,267/4,900.46 = 801.80/x
  3. Step 3: Cross multiply
    3,267x = 4,900.46 × 801.80
  4. Step 4: Simplify right side
    3,267x = 3,929,160.32
  5. Step 5: Solve for x
    x = 3,929,160.32/3,267
  6. Step 6: Final answer
    x = 1,202.68

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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.