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Finding the Fourth Proportional to 1,896.64, 2,846.29 and 664.15

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Solution

The fourth proportional to 1,896.64, 2,846.29 and 664.15 is: 996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.64 : 2,846.29 = 664.15 : x
  2. Step 2: Convert to fraction form
    1,896.64/2,846.29 = 664.15/x
  3. Step 3: Cross multiply
    1,896.64x = 2,846.29 × 664.15
  4. Step 4: Simplify right side
    1,896.64x = 1,890,361.31
  5. Step 5: Solve for x
    x = 1,890,361.31/1,896.64
  6. Step 6: Final answer
    x = 996.69

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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.