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Finding the Fourth Proportional to 2,237.78, 3,355.81 and 850.39

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Solution

The fourth proportional to 2,237.78, 3,355.81 and 850.39 is: 1,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.78 : 3,355.81 = 850.39 : x
  2. Step 2: Convert to fraction form
    2,237.78/3,355.81 = 850.39/x
  3. Step 3: Cross multiply
    2,237.78x = 3,355.81 × 850.39
  4. Step 4: Simplify right side
    2,237.78x = 2,853,728.36
  5. Step 5: Solve for x
    x = 2,853,728.36/2,237.78
  6. Step 6: Final answer
    x = 1,275.25

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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.