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Finding the Fourth Proportional to 3,266.56, 4,899.84 and 1,214.56

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Solution

The fourth proportional to 3,266.56, 4,899.84 and 1,214.56 is: 1,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.56 : 4,899.84 = 1,214.56 : x
  2. Step 2: Convert to fraction form
    3,266.56/4,899.84 = 1,214.56/x
  3. Step 3: Cross multiply
    3,266.56x = 4,899.84 × 1,214.56
  4. Step 4: Simplify right side
    3,266.56x = 5,951,149.67
  5. Step 5: Solve for x
    x = 5,951,149.67/3,266.56
  6. Step 6: Final answer
    x = 1,821.84

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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.