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Finding the Fourth Proportional to 2,047.87, 2,826.03 and 1,163.67

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Solution

The fourth proportional to 2,047.87, 2,826.03 and 1,163.67 is: 1,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.87 : 2,826.03 = 1,163.67 : x
  2. Step 2: Convert to fraction form
    2,047.87/2,826.03 = 1,163.67/x
  3. Step 3: Cross multiply
    2,047.87x = 2,826.03 × 1,163.67
  4. Step 4: Simplify right side
    2,047.87x = 3,288,566.33
  5. Step 5: Solve for x
    x = 3,288,566.33/2,047.87
  6. Step 6: Final answer
    x = 1,605.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.