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Finding the Fourth Proportional to 3,266.14, 4,899.82 and 1,076.41

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Solution

The fourth proportional to 3,266.14, 4,899.82 and 1,076.41 is: 1,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.14 : 4,899.82 = 1,076.41 : x
  2. Step 2: Convert to fraction form
    3,266.14/4,899.82 = 1,076.41/x
  3. Step 3: Cross multiply
    3,266.14x = 4,899.82 × 1,076.41
  4. Step 4: Simplify right side
    3,266.14x = 5,274,215.25
  5. Step 5: Solve for x
    x = 5,274,215.25/3,266.14
  6. Step 6: Final answer
    x = 1,614.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.