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Finding the Fourth Proportional to 2,236.65, 3,354.03 and 849.30

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Solution

The fourth proportional to 2,236.65, 3,354.03 and 849.30 is: 1,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.65 : 3,354.03 = 849.30 : x
  2. Step 2: Convert to fraction form
    2,236.65/3,354.03 = 849.30/x
  3. Step 3: Cross multiply
    2,236.65x = 3,354.03 × 849.30
  4. Step 4: Simplify right side
    2,236.65x = 2,848,577.68
  5. Step 5: Solve for x
    x = 2,848,577.68/2,236.65
  6. Step 6: Final answer
    x = 1,273.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.