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Finding the Fourth Proportional to 2,081.45, 3,122.31 and 694.73

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Solution

The fourth proportional to 2,081.45, 3,122.31 and 694.73 is: 1,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.45 : 3,122.31 = 694.73 : x
  2. Step 2: Convert to fraction form
    2,081.45/3,122.31 = 694.73/x
  3. Step 3: Cross multiply
    2,081.45x = 3,122.31 × 694.73
  4. Step 4: Simplify right side
    2,081.45x = 2,169,146.81
  5. Step 5: Solve for x
    x = 2,169,146.81/2,081.45
  6. Step 6: Final answer
    x = 1,042.14

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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.