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Finding the Fourth Proportional to 3,481.81, 4,805.60 and 2,066.28

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Solution

The fourth proportional to 3,481.81, 4,805.60 and 2,066.28 is: 2,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.81 : 4,805.60 = 2,066.28 : x
  2. Step 2: Convert to fraction form
    3,481.81/4,805.60 = 2,066.28/x
  3. Step 3: Cross multiply
    3,481.81x = 4,805.60 × 2,066.28
  4. Step 4: Simplify right side
    3,481.81x = 9,929,715.17
  5. Step 5: Solve for x
    x = 9,929,715.17/3,481.81
  6. Step 6: Final answer
    x = 2,851.88

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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.