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Finding the Fourth Proportional to 2,131.42, 3,199.11 and 1,092.17

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Solution

The fourth proportional to 2,131.42, 3,199.11 and 1,092.17 is: 1,639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.42 : 3,199.11 = 1,092.17 : x
  2. Step 2: Convert to fraction form
    2,131.42/3,199.11 = 1,092.17/x
  3. Step 3: Cross multiply
    2,131.42x = 3,199.11 × 1,092.17
  4. Step 4: Simplify right side
    2,131.42x = 3,493,955.97
  5. Step 5: Solve for x
    x = 3,493,955.97/2,131.42
  6. Step 6: Final answer
    x = 1,639.26

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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.