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Finding the Fourth Proportional to 2,048.11, 2,826.27 and 1,163.84

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Solution

The fourth proportional to 2,048.11, 2,826.27 and 1,163.84 is: 1,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.11 : 2,826.27 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    2,048.11/2,826.27 = 1,163.84/x
  3. Step 3: Cross multiply
    2,048.11x = 2,826.27 × 1,163.84
  4. Step 4: Simplify right side
    2,048.11x = 3,289,326.08
  5. Step 5: Solve for x
    x = 3,289,326.08/2,048.11
  6. Step 6: Final answer
    x = 1,606.03

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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.