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Finding the Fourth Proportional to 1,815.14, 2,722.65 and 516.61

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Solution

The fourth proportional to 1,815.14, 2,722.65 and 516.61 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.14 : 2,722.65 = 516.61 : x
  2. Step 2: Convert to fraction form
    1,815.14/2,722.65 = 516.61/x
  3. Step 3: Cross multiply
    1,815.14x = 2,722.65 × 516.61
  4. Step 4: Simplify right side
    1,815.14x = 1,406,549.68
  5. Step 5: Solve for x
    x = 1,406,549.68/1,815.14
  6. Step 6: Final answer
    x = 774.90

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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.