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Finding the Fourth Proportional to 2,059.85, 3,092.53 and 1,183.23

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Solution

The fourth proportional to 2,059.85, 3,092.53 and 1,183.23 is: 1,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.85 : 3,092.53 = 1,183.23 : x
  2. Step 2: Convert to fraction form
    2,059.85/3,092.53 = 1,183.23/x
  3. Step 3: Cross multiply
    2,059.85x = 3,092.53 × 1,183.23
  4. Step 4: Simplify right side
    2,059.85x = 3,659,174.27
  5. Step 5: Solve for x
    x = 3,659,174.27/2,059.85
  6. Step 6: Final answer
    x = 1,776.43

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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.