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Finding the Fourth Proportional to 2,105.86, 3,163.92 and 1,491.34

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Solution

The fourth proportional to 2,105.86, 3,163.92 and 1,491.34 is: 2,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.86 : 3,163.92 = 1,491.34 : x
  2. Step 2: Convert to fraction form
    2,105.86/3,163.92 = 1,491.34/x
  3. Step 3: Cross multiply
    2,105.86x = 3,163.92 × 1,491.34
  4. Step 4: Simplify right side
    2,105.86x = 4,718,480.45
  5. Step 5: Solve for x
    x = 4,718,480.45/2,105.86
  6. Step 6: Final answer
    x = 2,240.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.