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Finding the Fourth Proportional to 1,685.33, 2,529.07 and 819.17

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Solution

The fourth proportional to 1,685.33, 2,529.07 and 819.17 is: 1,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.33 : 2,529.07 = 819.17 : x
  2. Step 2: Convert to fraction form
    1,685.33/2,529.07 = 819.17/x
  3. Step 3: Cross multiply
    1,685.33x = 2,529.07 × 819.17
  4. Step 4: Simplify right side
    1,685.33x = 2,071,738.27
  5. Step 5: Solve for x
    x = 2,071,738.27/1,685.33
  6. Step 6: Final answer
    x = 1,229.28

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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.