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Finding the Fourth Proportional to 2,367, 3,265.38 and 1,621.80

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Solution

The fourth proportional to 2,367, 3,265.38 and 1,621.80 is: 2,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367 : 3,265.38 = 1,621.80 : x
  2. Step 2: Convert to fraction form
    2,367/3,265.38 = 1,621.80/x
  3. Step 3: Cross multiply
    2,367x = 3,265.38 × 1,621.80
  4. Step 4: Simplify right side
    2,367x = 5,295,793.28
  5. Step 5: Solve for x
    x = 5,295,793.28/2,367
  6. Step 6: Final answer
    x = 2,237.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.