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Finding the Fourth Proportional to 2,047.97, 2,826.08 and 1,163.75

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Solution

The fourth proportional to 2,047.97, 2,826.08 and 1,163.75 is: 1,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.97 : 2,826.08 = 1,163.75 : x
  2. Step 2: Convert to fraction form
    2,047.97/2,826.08 = 1,163.75/x
  3. Step 3: Cross multiply
    2,047.97x = 2,826.08 × 1,163.75
  4. Step 4: Simplify right side
    2,047.97x = 3,288,830.65
  5. Step 5: Solve for x
    x = 3,288,830.65/2,047.97
  6. Step 6: Final answer
    x = 1,605.90

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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.