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Finding the Fourth Proportional to 3,261.97, 4,893.26 and 922.02

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Solution

The fourth proportional to 3,261.97, 4,893.26 and 922.02 is: 1,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.97 : 4,893.26 = 922.02 : x
  2. Step 2: Convert to fraction form
    3,261.97/4,893.26 = 922.02/x
  3. Step 3: Cross multiply
    3,261.97x = 4,893.26 × 922.02
  4. Step 4: Simplify right side
    3,261.97x = 4,511,683.59
  5. Step 5: Solve for x
    x = 4,511,683.59/3,261.97
  6. Step 6: Final answer
    x = 1,383.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.