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Finding the Fourth Proportional to 1,896.83, 2,846.54 and 664.25

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Solution

The fourth proportional to 1,896.83, 2,846.54 and 664.25 is: 996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.83 : 2,846.54 = 664.25 : x
  2. Step 2: Convert to fraction form
    1,896.83/2,846.54 = 664.25/x
  3. Step 3: Cross multiply
    1,896.83x = 2,846.54 × 664.25
  4. Step 4: Simplify right side
    1,896.83x = 1,890,817.99
  5. Step 5: Solve for x
    x = 1,890,817.99/1,896.83
  6. Step 6: Final answer
    x = 996.83

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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.