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Finding the Fourth Proportional to 1,612.23, 2,414.22 and 1,062.73

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Solution

The fourth proportional to 1,612.23, 2,414.22 and 1,062.73 is: 1,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.23 : 2,414.22 = 1,062.73 : x
  2. Step 2: Convert to fraction form
    1,612.23/2,414.22 = 1,062.73/x
  3. Step 3: Cross multiply
    1,612.23x = 2,414.22 × 1,062.73
  4. Step 4: Simplify right side
    1,612.23x = 2,565,664.02
  5. Step 5: Solve for x
    x = 2,565,664.02/1,612.23
  6. Step 6: Final answer
    x = 1,591.38

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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.