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Finding the Fourth Proportional to 2,750.43, 3,796.10 and 1,571.49

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Solution

The fourth proportional to 2,750.43, 3,796.10 and 1,571.49 is: 2,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.43 : 3,796.10 = 1,571.49 : x
  2. Step 2: Convert to fraction form
    2,750.43/3,796.10 = 1,571.49/x
  3. Step 3: Cross multiply
    2,750.43x = 3,796.10 × 1,571.49
  4. Step 4: Simplify right side
    2,750.43x = 5,965,525.33
  5. Step 5: Solve for x
    x = 5,965,525.33/2,750.43
  6. Step 6: Final answer
    x = 2,168.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.