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Finding the Fourth Proportional to 3,481.96, 4,804.96 and 2,066.60

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Solution

The fourth proportional to 3,481.96, 4,804.96 and 2,066.60 is: 2,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.96 : 4,804.96 = 2,066.60 : x
  2. Step 2: Convert to fraction form
    3,481.96/4,804.96 = 2,066.60/x
  3. Step 3: Cross multiply
    3,481.96x = 4,804.96 × 2,066.60
  4. Step 4: Simplify right side
    3,481.96x = 9,929,930.34
  5. Step 5: Solve for x
    x = 9,929,930.34/3,481.96
  6. Step 6: Final answer
    x = 2,851.82

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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.