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Finding the Fourth Proportional to 2,131.90, 3,197.32 and 1,091.32

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Solution

The fourth proportional to 2,131.90, 3,197.32 and 1,091.32 is: 1,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.90 : 3,197.32 = 1,091.32 : x
  2. Step 2: Convert to fraction form
    2,131.90/3,197.32 = 1,091.32/x
  3. Step 3: Cross multiply
    2,131.90x = 3,197.32 × 1,091.32
  4. Step 4: Simplify right side
    2,131.90x = 3,489,299.26
  5. Step 5: Solve for x
    x = 3,489,299.26/2,131.90
  6. Step 6: Final answer
    x = 1,636.71

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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.