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Finding the Fourth Proportional to 2,047.70, 2,826.08 and 1,163.72

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Solution

The fourth proportional to 2,047.70, 2,826.08 and 1,163.72 is: 1,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.70 : 2,826.08 = 1,163.72 : x
  2. Step 2: Convert to fraction form
    2,047.70/2,826.08 = 1,163.72/x
  3. Step 3: Cross multiply
    2,047.70x = 2,826.08 × 1,163.72
  4. Step 4: Simplify right side
    2,047.70x = 3,288,745.87
  5. Step 5: Solve for x
    x = 3,288,745.87/2,047.70
  6. Step 6: Final answer
    x = 1,606.07

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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.