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Finding the Fourth Proportional to 1,612.29, 2,224.56 and 1,022.61

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Solution

The fourth proportional to 1,612.29, 2,224.56 and 1,022.61 is: 1,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.29 : 2,224.56 = 1,022.61 : x
  2. Step 2: Convert to fraction form
    1,612.29/2,224.56 = 1,022.61/x
  3. Step 3: Cross multiply
    1,612.29x = 2,224.56 × 1,022.61
  4. Step 4: Simplify right side
    1,612.29x = 2,274,857.30
  5. Step 5: Solve for x
    x = 2,274,857.30/1,612.29
  6. Step 6: Final answer
    x = 1,410.95

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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.