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Finding the Fourth Proportional to 1,234.87, 1,846.82 and 939.02

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Solution

The fourth proportional to 1,234.87, 1,846.82 and 939.02 is: 1,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.87 : 1,846.82 = 939.02 : x
  2. Step 2: Convert to fraction form
    1,234.87/1,846.82 = 939.02/x
  3. Step 3: Cross multiply
    1,234.87x = 1,846.82 × 939.02
  4. Step 4: Simplify right side
    1,234.87x = 1,734,194.03
  5. Step 5: Solve for x
    x = 1,734,194.03/1,234.87
  6. Step 6: Final answer
    x = 1,404.36

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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.