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Finding the Fourth Proportional to 1,960.78, 2,939.36 and 849.49

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Solution

The fourth proportional to 1,960.78, 2,939.36 and 849.49 is: 1,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.78 : 2,939.36 = 849.49 : x
  2. Step 2: Convert to fraction form
    1,960.78/2,939.36 = 849.49/x
  3. Step 3: Cross multiply
    1,960.78x = 2,939.36 × 849.49
  4. Step 4: Simplify right side
    1,960.78x = 2,496,964.25
  5. Step 5: Solve for x
    x = 2,496,964.25/1,960.78
  6. Step 6: Final answer
    x = 1,273.46

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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.