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Finding the Fourth Proportional to 2,161.41, 3,241.77 and 601.56

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Solution

The fourth proportional to 2,161.41, 3,241.77 and 601.56 is: 902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.41 : 3,241.77 = 601.56 : x
  2. Step 2: Convert to fraction form
    2,161.41/3,241.77 = 601.56/x
  3. Step 3: Cross multiply
    2,161.41x = 3,241.77 × 601.56
  4. Step 4: Simplify right side
    2,161.41x = 1,950,119.16
  5. Step 5: Solve for x
    x = 1,950,119.16/2,161.41
  6. Step 6: Final answer
    x = 902.24

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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.