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Finding the Fourth Proportional to 2,054.82, 3,083.49 and 1,233.30

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Solution

The fourth proportional to 2,054.82, 3,083.49 and 1,233.30 is: 1,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.82 : 3,083.49 = 1,233.30 : x
  2. Step 2: Convert to fraction form
    2,054.82/3,083.49 = 1,233.30/x
  3. Step 3: Cross multiply
    2,054.82x = 3,083.49 × 1,233.30
  4. Step 4: Simplify right side
    2,054.82x = 3,802,868.22
  5. Step 5: Solve for x
    x = 3,802,868.22/2,054.82
  6. Step 6: Final answer
    x = 1,850.71

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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.