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Finding the Fourth Proportional to 3,452.82, 4,764.52 and 1,940.55

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Solution

The fourth proportional to 3,452.82, 4,764.52 and 1,940.55 is: 2,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.82 : 4,764.52 = 1,940.55 : x
  2. Step 2: Convert to fraction form
    3,452.82/4,764.52 = 1,940.55/x
  3. Step 3: Cross multiply
    3,452.82x = 4,764.52 × 1,940.55
  4. Step 4: Simplify right side
    3,452.82x = 9,245,773.84
  5. Step 5: Solve for x
    x = 9,245,773.84/3,452.82
  6. Step 6: Final answer
    x = 2,677.75

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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.