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Finding the Fourth Proportional to 3,232.98, 4,458.78 and 2,734.56

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Solution

The fourth proportional to 3,232.98, 4,458.78 and 2,734.56 is: 3,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.98 : 4,458.78 = 2,734.56 : x
  2. Step 2: Convert to fraction form
    3,232.98/4,458.78 = 2,734.56/x
  3. Step 3: Cross multiply
    3,232.98x = 4,458.78 × 2,734.56
  4. Step 4: Simplify right side
    3,232.98x = 12,192,801.44
  5. Step 5: Solve for x
    x = 12,192,801.44/3,232.98
  6. Step 6: Final answer
    x = 3,771.38

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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.