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Finding the Fourth Proportional to 3,163.46, 4,365.02 and 1,904.22

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Solution

The fourth proportional to 3,163.46, 4,365.02 and 1,904.22 is: 2,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.46 : 4,365.02 = 1,904.22 : x
  2. Step 2: Convert to fraction form
    3,163.46/4,365.02 = 1,904.22/x
  3. Step 3: Cross multiply
    3,163.46x = 4,365.02 × 1,904.22
  4. Step 4: Simplify right side
    3,163.46x = 8,311,958.38
  5. Step 5: Solve for x
    x = 8,311,958.38/3,163.46
  6. Step 6: Final answer
    x = 2,627.49

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Why These Related Problems?

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