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Finding the Fourth Proportional to 2,227.36, 3,340.38 and 839.69

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Solution

The fourth proportional to 2,227.36, 3,340.38 and 839.69 is: 1,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.36 : 3,340.38 = 839.69 : x
  2. Step 2: Convert to fraction form
    2,227.36/3,340.38 = 839.69/x
  3. Step 3: Cross multiply
    2,227.36x = 3,340.38 × 839.69
  4. Step 4: Simplify right side
    2,227.36x = 2,804,883.68
  5. Step 5: Solve for x
    x = 2,804,883.68/2,227.36
  6. Step 6: Final answer
    x = 1,259.29

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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.