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Finding the Fourth Proportional to 2,236.10, 3,351.36 and 773.54

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Solution

The fourth proportional to 2,236.10, 3,351.36 and 773.54 is: 1,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.10 : 3,351.36 = 773.54 : x
  2. Step 2: Convert to fraction form
    2,236.10/3,351.36 = 773.54/x
  3. Step 3: Cross multiply
    2,236.10x = 3,351.36 × 773.54
  4. Step 4: Simplify right side
    2,236.10x = 2,592,394.26
  5. Step 5: Solve for x
    x = 2,592,394.26/2,236.10
  6. Step 6: Final answer
    x = 1,159.34

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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.