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Finding the Fourth Proportional to 2,218.27, 3,327.71 and 757.03

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Solution

The fourth proportional to 2,218.27, 3,327.71 and 757.03 is: 1,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.27 : 3,327.71 = 757.03 : x
  2. Step 2: Convert to fraction form
    2,218.27/3,327.71 = 757.03/x
  3. Step 3: Cross multiply
    2,218.27x = 3,327.71 × 757.03
  4. Step 4: Simplify right side
    2,218.27x = 2,519,176.30
  5. Step 5: Solve for x
    x = 2,519,176.30/2,218.27
  6. Step 6: Final answer
    x = 1,135.65

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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.