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Finding the Fourth Proportional to 2,161.26, 3,241.62 and 622.26

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Solution

The fourth proportional to 2,161.26, 3,241.62 and 622.26 is: 933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.26 : 3,241.62 = 622.26 : x
  2. Step 2: Convert to fraction form
    2,161.26/3,241.62 = 622.26/x
  3. Step 3: Cross multiply
    2,161.26x = 3,241.62 × 622.26
  4. Step 4: Simplify right side
    2,161.26x = 2,017,130.46
  5. Step 5: Solve for x
    x = 2,017,130.46/2,161.26
  6. Step 6: Final answer
    x = 933.31

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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.