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Finding the Fourth Proportional to 3,456.73, 4,770.19 and 1,964.81

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Solution

The fourth proportional to 3,456.73, 4,770.19 and 1,964.81 is: 2,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.73 : 4,770.19 = 1,964.81 : x
  2. Step 2: Convert to fraction form
    3,456.73/4,770.19 = 1,964.81/x
  3. Step 3: Cross multiply
    3,456.73x = 4,770.19 × 1,964.81
  4. Step 4: Simplify right side
    3,456.73x = 9,372,507.19
  5. Step 5: Solve for x
    x = 9,372,507.19/3,456.73
  6. Step 6: Final answer
    x = 2,711.38

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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.