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Finding the Fourth Proportional to 3,163.98, 4,366.31 and 1,747.62

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Solution

The fourth proportional to 3,163.98, 4,366.31 and 1,747.62 is: 2,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.98 : 4,366.31 = 1,747.62 : x
  2. Step 2: Convert to fraction form
    3,163.98/4,366.31 = 1,747.62/x
  3. Step 3: Cross multiply
    3,163.98x = 4,366.31 × 1,747.62
  4. Step 4: Simplify right side
    3,163.98x = 7,630,641.94
  5. Step 5: Solve for x
    x = 7,630,641.94/3,163.98
  6. Step 6: Final answer
    x = 2,411.73

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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.