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Finding the Fourth Proportional to 3,318.82, 4,976.79 and 1,238.02

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Solution

The fourth proportional to 3,318.82, 4,976.79 and 1,238.02 is: 1,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.82 : 4,976.79 = 1,238.02 : x
  2. Step 2: Convert to fraction form
    3,318.82/4,976.79 = 1,238.02/x
  3. Step 3: Cross multiply
    3,318.82x = 4,976.79 × 1,238.02
  4. Step 4: Simplify right side
    3,318.82x = 6,161,365.56
  5. Step 5: Solve for x
    x = 6,161,365.56/3,318.82
  6. Step 6: Final answer
    x = 1,856.49

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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.