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Finding the Fourth Proportional to 1,620.91, 2,236.59 and 922.15

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Solution

The fourth proportional to 1,620.91, 2,236.59 and 922.15 is: 1,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.91 : 2,236.59 = 922.15 : x
  2. Step 2: Convert to fraction form
    1,620.91/2,236.59 = 922.15/x
  3. Step 3: Cross multiply
    1,620.91x = 2,236.59 × 922.15
  4. Step 4: Simplify right side
    1,620.91x = 2,062,471.47
  5. Step 5: Solve for x
    x = 2,062,471.47/1,620.91
  6. Step 6: Final answer
    x = 1,272.42

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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.