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Finding the Fourth Proportional to 2,255.26, 3,381.99 and 867.82

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Solution

The fourth proportional to 2,255.26, 3,381.99 and 867.82 is: 1,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.26 : 3,381.99 = 867.82 : x
  2. Step 2: Convert to fraction form
    2,255.26/3,381.99 = 867.82/x
  3. Step 3: Cross multiply
    2,255.26x = 3,381.99 × 867.82
  4. Step 4: Simplify right side
    2,255.26x = 2,934,969.93
  5. Step 5: Solve for x
    x = 2,934,969.93/2,255.26
  6. Step 6: Final answer
    x = 1,301.39

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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.