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Finding the Fourth Proportional to 1,815.12, 2,722.86 and 516.78

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Solution

The fourth proportional to 1,815.12, 2,722.86 and 516.78 is: 775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.12 : 2,722.86 = 516.78 : x
  2. Step 2: Convert to fraction form
    1,815.12/2,722.86 = 516.78/x
  3. Step 3: Cross multiply
    1,815.12x = 2,722.86 × 516.78
  4. Step 4: Simplify right side
    1,815.12x = 1,407,119.59
  5. Step 5: Solve for x
    x = 1,407,119.59/1,815.12
  6. Step 6: Final answer
    x = 775.22

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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.