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Finding the Fourth Proportional to 2,093.79, 3,141.09 and 796.17

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Solution

The fourth proportional to 2,093.79, 3,141.09 and 796.17 is: 1,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.79 : 3,141.09 = 796.17 : x
  2. Step 2: Convert to fraction form
    2,093.79/3,141.09 = 796.17/x
  3. Step 3: Cross multiply
    2,093.79x = 3,141.09 × 796.17
  4. Step 4: Simplify right side
    2,093.79x = 2,500,841.63
  5. Step 5: Solve for x
    x = 2,500,841.63/2,093.79
  6. Step 6: Final answer
    x = 1,194.41

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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.