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Finding the Fourth Proportional to 1,814.67, 2,722.24 and 516.17

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Solution

The fourth proportional to 1,814.67, 2,722.24 and 516.17 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.67 : 2,722.24 = 516.17 : x
  2. Step 2: Convert to fraction form
    1,814.67/2,722.24 = 516.17/x
  3. Step 3: Cross multiply
    1,814.67x = 2,722.24 × 516.17
  4. Step 4: Simplify right side
    1,814.67x = 1,405,146.07
  5. Step 5: Solve for x
    x = 1,405,146.07/1,814.67
  6. Step 6: Final answer
    x = 774.33

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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.