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Finding the Fourth Proportional to 3,481.36, 4,805.17 and 2,154.31

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Solution

The fourth proportional to 3,481.36, 4,805.17 and 2,154.31 is: 2,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.36 : 4,805.17 = 2,154.31 : x
  2. Step 2: Convert to fraction form
    3,481.36/4,805.17 = 2,154.31/x
  3. Step 3: Cross multiply
    3,481.36x = 4,805.17 × 2,154.31
  4. Step 4: Simplify right side
    3,481.36x = 10,351,825.78
  5. Step 5: Solve for x
    x = 10,351,825.78/3,481.36
  6. Step 6: Final answer
    x = 2,973.50

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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.