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Finding the Fourth Proportional to 3,163.94, 4,366.25 and 1,838.42

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Solution

The fourth proportional to 3,163.94, 4,366.25 and 1,838.42 is: 2,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.94 : 4,366.25 = 1,838.42 : x
  2. Step 2: Convert to fraction form
    3,163.94/4,366.25 = 1,838.42/x
  3. Step 3: Cross multiply
    3,163.94x = 4,366.25 × 1,838.42
  4. Step 4: Simplify right side
    3,163.94x = 8,027,001.33
  5. Step 5: Solve for x
    x = 8,027,001.33/3,163.94
  6. Step 6: Final answer
    x = 2,537.03

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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.