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Finding the Fourth Proportional to 2,796.73, 3,858.23 and 1,616.96

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Solution

The fourth proportional to 2,796.73, 3,858.23 and 1,616.96 is: 2,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.73 : 3,858.23 = 1,616.96 : x
  2. Step 2: Convert to fraction form
    2,796.73/3,858.23 = 1,616.96/x
  3. Step 3: Cross multiply
    2,796.73x = 3,858.23 × 1,616.96
  4. Step 4: Simplify right side
    2,796.73x = 6,238,617.27
  5. Step 5: Solve for x
    x = 6,238,617.27/2,796.73
  6. Step 6: Final answer
    x = 2,230.68

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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.