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Finding the Fourth Proportional to 1,550.43, 2,324.01 and 818.19

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Solution

The fourth proportional to 1,550.43, 2,324.01 and 818.19 is: 1,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.43 : 2,324.01 = 818.19 : x
  2. Step 2: Convert to fraction form
    1,550.43/2,324.01 = 818.19/x
  3. Step 3: Cross multiply
    1,550.43x = 2,324.01 × 818.19
  4. Step 4: Simplify right side
    1,550.43x = 1,901,481.74
  5. Step 5: Solve for x
    x = 1,901,481.74/1,550.43
  6. Step 6: Final answer
    x = 1,226.42

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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.