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Finding the Fourth Proportional to 2,965.28, 4,092.10 and 1,620.92

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Solution

The fourth proportional to 2,965.28, 4,092.10 and 1,620.92 is: 2,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.28 : 4,092.10 = 1,620.92 : x
  2. Step 2: Convert to fraction form
    2,965.28/4,092.10 = 1,620.92/x
  3. Step 3: Cross multiply
    2,965.28x = 4,092.10 × 1,620.92
  4. Step 4: Simplify right side
    2,965.28x = 6,632,966.73
  5. Step 5: Solve for x
    x = 6,632,966.73/2,965.28
  6. Step 6: Final answer
    x = 2,236.88

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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.