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Finding the Fourth Proportional to 2,108.94, 3,163.42 and 1,141.19

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Solution

The fourth proportional to 2,108.94, 3,163.42 and 1,141.19 is: 1,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 3,163.42 = 1,141.19 : x
  2. Step 2: Convert to fraction form
    2,108.94/3,163.42 = 1,141.19/x
  3. Step 3: Cross multiply
    2,108.94x = 3,163.42 × 1,141.19
  4. Step 4: Simplify right side
    2,108.94x = 3,610,072.12
  5. Step 5: Solve for x
    x = 3,610,072.12/2,108.94
  6. Step 6: Final answer
    x = 1,711.79

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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.