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Finding the Fourth Proportional to 1,512.20, 2,086.83 and 922.62

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Solution

The fourth proportional to 1,512.20, 2,086.83 and 922.62 is: 1,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.20 : 2,086.83 = 922.62 : x
  2. Step 2: Convert to fraction form
    1,512.20/2,086.83 = 922.62/x
  3. Step 3: Cross multiply
    1,512.20x = 2,086.83 × 922.62
  4. Step 4: Simplify right side
    1,512.20x = 1,925,351.09
  5. Step 5: Solve for x
    x = 1,925,351.09/1,512.20
  6. Step 6: Final answer
    x = 1,273.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.