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Finding the Fourth Proportional to 2,236.82, 3,338.31 and 2,178.50

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Solution

The fourth proportional to 2,236.82, 3,338.31 and 2,178.50 is: 3,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.82 : 3,338.31 = 2,178.50 : x
  2. Step 2: Convert to fraction form
    2,236.82/3,338.31 = 2,178.50/x
  3. Step 3: Cross multiply
    2,236.82x = 3,338.31 × 2,178.50
  4. Step 4: Simplify right side
    2,236.82x = 7,272,499.81
  5. Step 5: Solve for x
    x = 7,272,499.81/2,236.82
  6. Step 6: Final answer
    x = 3,251.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.