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Finding the Fourth Proportional to 3,163.83, 4,744.73 and 1,497.73

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Solution

The fourth proportional to 3,163.83, 4,744.73 and 1,497.73 is: 2,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.83 : 4,744.73 = 1,497.73 : x
  2. Step 2: Convert to fraction form
    3,163.83/4,744.73 = 1,497.73/x
  3. Step 3: Cross multiply
    3,163.83x = 4,744.73 × 1,497.73
  4. Step 4: Simplify right side
    3,163.83x = 7,106,324.46
  5. Step 5: Solve for x
    x = 7,106,324.46/3,163.83
  6. Step 6: Final answer
    x = 2,246.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.