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Finding the Fourth Proportional to 2,561.28, 3,841.92 and 829.92

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Solution

The fourth proportional to 2,561.28, 3,841.92 and 829.92 is: 1,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.28 : 3,841.92 = 829.92 : x
  2. Step 2: Convert to fraction form
    2,561.28/3,841.92 = 829.92/x
  3. Step 3: Cross multiply
    2,561.28x = 3,841.92 × 829.92
  4. Step 4: Simplify right side
    2,561.28x = 3,188,486.25
  5. Step 5: Solve for x
    x = 3,188,486.25/2,561.28
  6. Step 6: Final answer
    x = 1,244.88

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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.