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Finding the Fourth Proportional to 2,047.87, 2,825.97 and 1,163.66

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Solution

The fourth proportional to 2,047.87, 2,825.97 and 1,163.66 is: 1,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.87 : 2,825.97 = 1,163.66 : x
  2. Step 2: Convert to fraction form
    2,047.87/2,825.97 = 1,163.66/x
  3. Step 3: Cross multiply
    2,047.87x = 2,825.97 × 1,163.66
  4. Step 4: Simplify right side
    2,047.87x = 3,288,468.25
  5. Step 5: Solve for x
    x = 3,288,468.25/2,047.87
  6. Step 6: Final answer
    x = 1,605.80

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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.