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Finding the Fourth Proportional to 3,481.68, 4,804.92 and 2,066.21

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Solution

The fourth proportional to 3,481.68, 4,804.92 and 2,066.21 is: 2,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.68 : 4,804.92 = 2,066.21 : x
  2. Step 2: Convert to fraction form
    3,481.68/4,804.92 = 2,066.21/x
  3. Step 3: Cross multiply
    3,481.68x = 4,804.92 × 2,066.21
  4. Step 4: Simplify right side
    3,481.68x = 9,927,949.73
  5. Step 5: Solve for x
    x = 9,927,949.73/3,481.68
  6. Step 6: Final answer
    x = 2,851.48

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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.