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Finding the Fourth Proportional to 2,107.73, 3,162.05 and 809.19

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Solution

The fourth proportional to 2,107.73, 3,162.05 and 809.19 is: 1,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.73 : 3,162.05 = 809.19 : x
  2. Step 2: Convert to fraction form
    2,107.73/3,162.05 = 809.19/x
  3. Step 3: Cross multiply
    2,107.73x = 3,162.05 × 809.19
  4. Step 4: Simplify right side
    2,107.73x = 2,558,699.24
  5. Step 5: Solve for x
    x = 2,558,699.24/2,107.73
  6. Step 6: Final answer
    x = 1,213.96

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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.