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Finding the Fourth Proportional to 2,908.31, 4,361.69 and 1,264.46

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Solution

The fourth proportional to 2,908.31, 4,361.69 and 1,264.46 is: 1,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.31 : 4,361.69 = 1,264.46 : x
  2. Step 2: Convert to fraction form
    2,908.31/4,361.69 = 1,264.46/x
  3. Step 3: Cross multiply
    2,908.31x = 4,361.69 × 1,264.46
  4. Step 4: Simplify right side
    2,908.31x = 5,515,187.12
  5. Step 5: Solve for x
    x = 5,515,187.12/2,908.31
  6. Step 6: Final answer
    x = 1,896.36

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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.