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Finding the Fourth Proportional to 2,841.28, 4,260.42 and 892.96

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Solution

The fourth proportional to 2,841.28, 4,260.42 and 892.96 is: 1,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.28 : 4,260.42 = 892.96 : x
  2. Step 2: Convert to fraction form
    2,841.28/4,260.42 = 892.96/x
  3. Step 3: Cross multiply
    2,841.28x = 4,260.42 × 892.96
  4. Step 4: Simplify right side
    2,841.28x = 3,804,384.64
  5. Step 5: Solve for x
    x = 3,804,384.64/2,841.28
  6. Step 6: Final answer
    x = 1,338.97

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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.