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Finding the Fourth Proportional to 2,855.44, 3,940.41 and 1,676.44

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Solution

The fourth proportional to 2,855.44, 3,940.41 and 1,676.44 is: 2,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.44 : 3,940.41 = 1,676.44 : x
  2. Step 2: Convert to fraction form
    2,855.44/3,940.41 = 1,676.44/x
  3. Step 3: Cross multiply
    2,855.44x = 3,940.41 × 1,676.44
  4. Step 4: Simplify right side
    2,855.44x = 6,605,860.94
  5. Step 5: Solve for x
    x = 6,605,860.94/2,855.44
  6. Step 6: Final answer
    x = 2,313.43

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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.