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Finding the Fourth Proportional to 2,331.31, 3,495.86 and 849.49

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Solution

The fourth proportional to 2,331.31, 3,495.86 and 849.49 is: 1,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.31 : 3,495.86 = 849.49 : x
  2. Step 2: Convert to fraction form
    2,331.31/3,495.86 = 849.49/x
  3. Step 3: Cross multiply
    2,331.31x = 3,495.86 × 849.49
  4. Step 4: Simplify right side
    2,331.31x = 2,969,698.11
  5. Step 5: Solve for x
    x = 2,969,698.11/2,331.31
  6. Step 6: Final answer
    x = 1,273.83

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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.