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Finding the Fourth Proportional to 3,241.98, 4,855.67 and 2,272.41

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Solution

The fourth proportional to 3,241.98, 4,855.67 and 2,272.41 is: 3,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.98 : 4,855.67 = 2,272.41 : x
  2. Step 2: Convert to fraction form
    3,241.98/4,855.67 = 2,272.41/x
  3. Step 3: Cross multiply
    3,241.98x = 4,855.67 × 2,272.41
  4. Step 4: Simplify right side
    3,241.98x = 11,034,073.06
  5. Step 5: Solve for x
    x = 11,034,073.06/3,241.98
  6. Step 6: Final answer
    x = 3,403.50

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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.