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Finding the Fourth Proportional to 1,516.85, 2,092.87 and 1,163.13

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Solution

The fourth proportional to 1,516.85, 2,092.87 and 1,163.13 is: 1,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.85 : 2,092.87 = 1,163.13 : x
  2. Step 2: Convert to fraction form
    1,516.85/2,092.87 = 1,163.13/x
  3. Step 3: Cross multiply
    1,516.85x = 2,092.87 × 1,163.13
  4. Step 4: Simplify right side
    1,516.85x = 2,434,285.26
  5. Step 5: Solve for x
    x = 2,434,285.26/1,516.85
  6. Step 6: Final answer
    x = 1,604.83

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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.