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Finding the Fourth Proportional to 2,467.98, 3,701.97 and 736.61

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Solution

The fourth proportional to 2,467.98, 3,701.97 and 736.61 is: 1,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.98 : 3,701.97 = 736.61 : x
  2. Step 2: Convert to fraction form
    2,467.98/3,701.97 = 736.61/x
  3. Step 3: Cross multiply
    2,467.98x = 3,701.97 × 736.61
  4. Step 4: Simplify right side
    2,467.98x = 2,726,889.61
  5. Step 5: Solve for x
    x = 2,726,889.61/2,467.98
  6. Step 6: Final answer
    x = 1,104.91

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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.