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Finding the Fourth Proportional to 2,768.73, 4,146.62 and 2,076.09

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Solution

The fourth proportional to 2,768.73, 4,146.62 and 2,076.09 is: 3,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.73 : 4,146.62 = 2,076.09 : x
  2. Step 2: Convert to fraction form
    2,768.73/4,146.62 = 2,076.09/x
  3. Step 3: Cross multiply
    2,768.73x = 4,146.62 × 2,076.09
  4. Step 4: Simplify right side
    2,768.73x = 8,608,745.94
  5. Step 5: Solve for x
    x = 8,608,745.94/2,768.73
  6. Step 6: Final answer
    x = 3,109.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.