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Finding the Fourth Proportional to 2,255.41, 3,383.22 and 868.26

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Solution

The fourth proportional to 2,255.41, 3,383.22 and 868.26 is: 1,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.41 : 3,383.22 = 868.26 : x
  2. Step 2: Convert to fraction form
    2,255.41/3,383.22 = 868.26/x
  3. Step 3: Cross multiply
    2,255.41x = 3,383.22 × 868.26
  4. Step 4: Simplify right side
    2,255.41x = 2,937,514.60
  5. Step 5: Solve for x
    x = 2,937,514.60/2,255.41
  6. Step 6: Final answer
    x = 1,302.43

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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.