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Finding the Fourth Proportional to 2,231.44, 3,347.08 and 1,062.28

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Solution

The fourth proportional to 2,231.44, 3,347.08 and 1,062.28 is: 1,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.44 : 3,347.08 = 1,062.28 : x
  2. Step 2: Convert to fraction form
    2,231.44/3,347.08 = 1,062.28/x
  3. Step 3: Cross multiply
    2,231.44x = 3,347.08 × 1,062.28
  4. Step 4: Simplify right side
    2,231.44x = 3,555,536.14
  5. Step 5: Solve for x
    x = 3,555,536.14/2,231.44
  6. Step 6: Final answer
    x = 1,593.38

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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.