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Finding the Fourth Proportional to 1,612.41, 2,418.09 and 516.52

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Solution

The fourth proportional to 1,612.41, 2,418.09 and 516.52 is: 774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.41 : 2,418.09 = 516.52 : x
  2. Step 2: Convert to fraction form
    1,612.41/2,418.09 = 516.52/x
  3. Step 3: Cross multiply
    1,612.41x = 2,418.09 × 516.52
  4. Step 4: Simplify right side
    1,612.41x = 1,248,991.85
  5. Step 5: Solve for x
    x = 1,248,991.85/1,612.41
  6. Step 6: Final answer
    x = 774.61

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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.