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Finding the Fourth Proportional to 2,247, 3,367.80 and 1,204.80

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Solution

The fourth proportional to 2,247, 3,367.80 and 1,204.80 is: 1,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,367.80 = 1,204.80 : x
  2. Step 2: Convert to fraction form
    2,247/3,367.80 = 1,204.80/x
  3. Step 3: Cross multiply
    2,247x = 3,367.80 × 1,204.80
  4. Step 4: Simplify right side
    2,247x = 4,057,525.44
  5. Step 5: Solve for x
    x = 4,057,525.44/2,247
  6. Step 6: Final answer
    x = 1,805.75

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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.