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Finding the Fourth Proportional to 3,456.48, 4,769.82 and 2,040.42

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Solution

The fourth proportional to 3,456.48, 4,769.82 and 2,040.42 is: 2,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.48 : 4,769.82 = 2,040.42 : x
  2. Step 2: Convert to fraction form
    3,456.48/4,769.82 = 2,040.42/x
  3. Step 3: Cross multiply
    3,456.48x = 4,769.82 × 2,040.42
  4. Step 4: Simplify right side
    3,456.48x = 9,732,436.12
  5. Step 5: Solve for x
    x = 9,732,436.12/3,456.48
  6. Step 6: Final answer
    x = 2,815.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.