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Finding the Fourth Proportional to 1,815.39, 2,723.02 and 516.85

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Solution

The fourth proportional to 1,815.39, 2,723.02 and 516.85 is: 775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.39 : 2,723.02 = 516.85 : x
  2. Step 2: Convert to fraction form
    1,815.39/2,723.02 = 516.85/x
  3. Step 3: Cross multiply
    1,815.39x = 2,723.02 × 516.85
  4. Step 4: Simplify right side
    1,815.39x = 1,407,384.79
  5. Step 5: Solve for x
    x = 1,407,384.79/1,815.39
  6. Step 6: Final answer
    x = 775.25

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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.