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Finding the Fourth Proportional to 2,107.41, 3,163.56 and 1,135.41

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Solution

The fourth proportional to 2,107.41, 3,163.56 and 1,135.41 is: 1,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.41 : 3,163.56 = 1,135.41 : x
  2. Step 2: Convert to fraction form
    2,107.41/3,163.56 = 1,135.41/x
  3. Step 3: Cross multiply
    2,107.41x = 3,163.56 × 1,135.41
  4. Step 4: Simplify right side
    2,107.41x = 3,591,937.66
  5. Step 5: Solve for x
    x = 3,591,937.66/2,107.41
  6. Step 6: Final answer
    x = 1,704.43

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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.