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Finding the Fourth Proportional to 3,202.41, 4,418.58 and 1,943.44

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Solution

The fourth proportional to 3,202.41, 4,418.58 and 1,943.44 is: 2,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.41 : 4,418.58 = 1,943.44 : x
  2. Step 2: Convert to fraction form
    3,202.41/4,418.58 = 1,943.44/x
  3. Step 3: Cross multiply
    3,202.41x = 4,418.58 × 1,943.44
  4. Step 4: Simplify right side
    3,202.41x = 8,587,221.85
  5. Step 5: Solve for x
    x = 8,587,221.85/3,202.41
  6. Step 6: Final answer
    x = 2,681.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.