Home / 2,131.22-3,197.23-961.27

Finding the Fourth Proportional to 2,131.22, 3,197.23 and 961.27

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Solution

The fourth proportional to 2,131.22, 3,197.23 and 961.27 is: 1,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.22 : 3,197.23 = 961.27 : x
  2. Step 2: Convert to fraction form
    2,131.22/3,197.23 = 961.27/x
  3. Step 3: Cross multiply
    2,131.22x = 3,197.23 × 961.27
  4. Step 4: Simplify right side
    2,131.22x = 3,073,390.89
  5. Step 5: Solve for x
    x = 3,073,390.89/2,131.22
  6. Step 6: Final answer
    x = 1,442.08

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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.