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Finding the Fourth Proportional to 2,227.08, 3,340.77 and 767.26

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Solution

The fourth proportional to 2,227.08, 3,340.77 and 767.26 is: 1,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.08 : 3,340.77 = 767.26 : x
  2. Step 2: Convert to fraction form
    2,227.08/3,340.77 = 767.26/x
  3. Step 3: Cross multiply
    2,227.08x = 3,340.77 × 767.26
  4. Step 4: Simplify right side
    2,227.08x = 2,563,239.19
  5. Step 5: Solve for x
    x = 2,563,239.19/2,227.08
  6. Step 6: Final answer
    x = 1,150.94

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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.