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Finding the Fourth Proportional to 2,228.57, 3,343.26 and 767.87

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Solution

The fourth proportional to 2,228.57, 3,343.26 and 767.87 is: 1,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.57 : 3,343.26 = 767.87 : x
  2. Step 2: Convert to fraction form
    2,228.57/3,343.26 = 767.87/x
  3. Step 3: Cross multiply
    2,228.57x = 3,343.26 × 767.87
  4. Step 4: Simplify right side
    2,228.57x = 2,567,189.06
  5. Step 5: Solve for x
    x = 2,567,189.06/2,228.57
  6. Step 6: Final answer
    x = 1,151.94

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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.