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Finding the Fourth Proportional to 2,844.11, 4,265.75 and 896.26

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Solution

The fourth proportional to 2,844.11, 4,265.75 and 896.26 is: 1,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.11 : 4,265.75 = 896.26 : x
  2. Step 2: Convert to fraction form
    2,844.11/4,265.75 = 896.26/x
  3. Step 3: Cross multiply
    2,844.11x = 4,265.75 × 896.26
  4. Step 4: Simplify right side
    2,844.11x = 3,823,221.10
  5. Step 5: Solve for x
    x = 3,823,221.10/2,844.11
  6. Step 6: Final answer
    x = 1,344.26

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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.