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Finding the Fourth Proportional to 2,003.54, 2,764.69 and 1,163.97

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Solution

The fourth proportional to 2,003.54, 2,764.69 and 1,163.97 is: 1,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.54 : 2,764.69 = 1,163.97 : x
  2. Step 2: Convert to fraction form
    2,003.54/2,764.69 = 1,163.97/x
  3. Step 3: Cross multiply
    2,003.54x = 2,764.69 × 1,163.97
  4. Step 4: Simplify right side
    2,003.54x = 3,218,013.31
  5. Step 5: Solve for x
    x = 3,218,013.31/2,003.54
  6. Step 6: Final answer
    x = 1,606.17

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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.