Home / 2,131.20-3,198.96-1,157.76

Finding the Fourth Proportional to 2,131.20, 3,198.96 and 1,157.76

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Solution

The fourth proportional to 2,131.20, 3,198.96 and 1,157.76 is: 1,737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.20 : 3,198.96 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    2,131.20/3,198.96 = 1,157.76/x
  3. Step 3: Cross multiply
    2,131.20x = 3,198.96 × 1,157.76
  4. Step 4: Simplify right side
    2,131.20x = 3,703,627.93
  5. Step 5: Solve for x
    x = 3,703,627.93/2,131.20
  6. Step 6: Final answer
    x = 1,737.81

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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.