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Finding the Fourth Proportional to 2,481.97, 3,427.14 and 1,921.47

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Solution

The fourth proportional to 2,481.97, 3,427.14 and 1,921.47 is: 2,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.97 : 3,427.14 = 1,921.47 : x
  2. Step 2: Convert to fraction form
    2,481.97/3,427.14 = 1,921.47/x
  3. Step 3: Cross multiply
    2,481.97x = 3,427.14 × 1,921.47
  4. Step 4: Simplify right side
    2,481.97x = 6,585,144.11
  5. Step 5: Solve for x
    x = 6,585,144.11/2,481.97
  6. Step 6: Final answer
    x = 2,653.20

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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.