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Finding the Fourth Proportional to 3,072.78, 4,238.82 and 2,078.40

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Solution

The fourth proportional to 3,072.78, 4,238.82 and 2,078.40 is: 2,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.78 : 4,238.82 = 2,078.40 : x
  2. Step 2: Convert to fraction form
    3,072.78/4,238.82 = 2,078.40/x
  3. Step 3: Cross multiply
    3,072.78x = 4,238.82 × 2,078.40
  4. Step 4: Simplify right side
    3,072.78x = 8,809,942.29
  5. Step 5: Solve for x
    x = 8,809,942.29/3,072.78
  6. Step 6: Final answer
    x = 2,867.09

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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.