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Finding the Fourth Proportional to 2,093.82, 3,141.34 and 998.22

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Solution

The fourth proportional to 2,093.82, 3,141.34 and 998.22 is: 1,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.82 : 3,141.34 = 998.22 : x
  2. Step 2: Convert to fraction form
    2,093.82/3,141.34 = 998.22/x
  3. Step 3: Cross multiply
    2,093.82x = 3,141.34 × 998.22
  4. Step 4: Simplify right side
    2,093.82x = 3,135,748.41
  5. Step 5: Solve for x
    x = 3,135,748.41/2,093.82
  6. Step 6: Final answer
    x = 1,497.62

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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.