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Finding the Fourth Proportional to 3,238, 4,466.84 and 2,042.44

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Solution

The fourth proportional to 3,238, 4,466.84 and 2,042.44 is: 2,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238 : 4,466.84 = 2,042.44 : x
  2. Step 2: Convert to fraction form
    3,238/4,466.84 = 2,042.44/x
  3. Step 3: Cross multiply
    3,238x = 4,466.84 × 2,042.44
  4. Step 4: Simplify right side
    3,238x = 9,123,252.69
  5. Step 5: Solve for x
    x = 9,123,252.69/3,238
  6. Step 6: Final answer
    x = 2,817.56

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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.