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Finding the Fourth Proportional to 2,237.98, 3,356.46 and 850.82

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Solution

The fourth proportional to 2,237.98, 3,356.46 and 850.82 is: 1,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.98 : 3,356.46 = 850.82 : x
  2. Step 2: Convert to fraction form
    2,237.98/3,356.46 = 850.82/x
  3. Step 3: Cross multiply
    2,237.98x = 3,356.46 × 850.82
  4. Step 4: Simplify right side
    2,237.98x = 2,855,753.82
  5. Step 5: Solve for x
    x = 2,855,753.82/2,237.98
  6. Step 6: Final answer
    x = 1,276.04

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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.