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Finding the Fourth Proportional to 2,467.49, 3,704.49 and 2,263.73

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Solution

The fourth proportional to 2,467.49, 3,704.49 and 2,263.73 is: 3,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.49 : 3,704.49 = 2,263.73 : x
  2. Step 2: Convert to fraction form
    2,467.49/3,704.49 = 2,263.73/x
  3. Step 3: Cross multiply
    2,467.49x = 3,704.49 × 2,263.73
  4. Step 4: Simplify right side
    2,467.49x = 8,385,965.15
  5. Step 5: Solve for x
    x = 8,385,965.15/2,467.49
  6. Step 6: Final answer
    x = 3,398.58

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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.