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Finding the Fourth Proportional to 3,234.39, 4,463.94 and 1,976.18

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Solution

The fourth proportional to 3,234.39, 4,463.94 and 1,976.18 is: 2,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.39 : 4,463.94 = 1,976.18 : x
  2. Step 2: Convert to fraction form
    3,234.39/4,463.94 = 1,976.18/x
  3. Step 3: Cross multiply
    3,234.39x = 4,463.94 × 1,976.18
  4. Step 4: Simplify right side
    3,234.39x = 8,821,534.04
  5. Step 5: Solve for x
    x = 8,821,534.04/3,234.39
  6. Step 6: Final answer
    x = 2,727.42

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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.