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Finding the Fourth Proportional to 2,161.42, 3,241.06 and 844.22

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Solution

The fourth proportional to 2,161.42, 3,241.06 and 844.22 is: 1,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.42 : 3,241.06 = 844.22 : x
  2. Step 2: Convert to fraction form
    2,161.42/3,241.06 = 844.22/x
  3. Step 3: Cross multiply
    2,161.42x = 3,241.06 × 844.22
  4. Step 4: Simplify right side
    2,161.42x = 2,736,167.67
  5. Step 5: Solve for x
    x = 2,736,167.67/2,161.42
  6. Step 6: Final answer
    x = 1,265.91

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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.