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Finding the Fourth Proportional to 2,906.88, 4,361.04 and 1,057.68

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Solution

The fourth proportional to 2,906.88, 4,361.04 and 1,057.68 is: 1,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,361.04 = 1,057.68 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,361.04 = 1,057.68/x
  3. Step 3: Cross multiply
    2,906.88x = 4,361.04 × 1,057.68
  4. Step 4: Simplify right side
    2,906.88x = 4,612,584.79
  5. Step 5: Solve for x
    x = 4,612,584.79/2,906.88
  6. Step 6: Final answer
    x = 1,586.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.