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Finding the Fourth Proportional to 1,684.33, 2,527.57 and 818.17

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Solution

The fourth proportional to 1,684.33, 2,527.57 and 818.17 is: 1,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.33 : 2,527.57 = 818.17 : x
  2. Step 2: Convert to fraction form
    1,684.33/2,527.57 = 818.17/x
  3. Step 3: Cross multiply
    1,684.33x = 2,527.57 × 818.17
  4. Step 4: Simplify right side
    1,684.33x = 2,067,976.65
  5. Step 5: Solve for x
    x = 2,067,976.65/1,684.33
  6. Step 6: Final answer
    x = 1,227.78

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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.