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Finding the Fourth Proportional to 1,441.05, 2,161.97 and 516.63

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Solution

The fourth proportional to 1,441.05, 2,161.97 and 516.63 is: 775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.05 : 2,161.97 = 516.63 : x
  2. Step 2: Convert to fraction form
    1,441.05/2,161.97 = 516.63/x
  3. Step 3: Cross multiply
    1,441.05x = 2,161.97 × 516.63
  4. Step 4: Simplify right side
    1,441.05x = 1,116,938.56
  5. Step 5: Solve for x
    x = 1,116,938.56/1,441.05
  6. Step 6: Final answer
    x = 775.09

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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.