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Finding the Fourth Proportional to 1,936.67, 2,905.92 and 896.03

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Solution

The fourth proportional to 1,936.67, 2,905.92 and 896.03 is: 1,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.67 : 2,905.92 = 896.03 : x
  2. Step 2: Convert to fraction form
    1,936.67/2,905.92 = 896.03/x
  3. Step 3: Cross multiply
    1,936.67x = 2,905.92 × 896.03
  4. Step 4: Simplify right side
    1,936.67x = 2,603,791.50
  5. Step 5: Solve for x
    x = 2,603,791.50/1,936.67
  6. Step 6: Final answer
    x = 1,344.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.