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Finding the Fourth Proportional to 2,233.54, 3,348.42 and 1,062.88

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Solution

The fourth proportional to 2,233.54, 3,348.42 and 1,062.88 is: 1,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.54 : 3,348.42 = 1,062.88 : x
  2. Step 2: Convert to fraction form
    2,233.54/3,348.42 = 1,062.88/x
  3. Step 3: Cross multiply
    2,233.54x = 3,348.42 × 1,062.88
  4. Step 4: Simplify right side
    2,233.54x = 3,558,968.65
  5. Step 5: Solve for x
    x = 3,558,968.65/2,233.54
  6. Step 6: Final answer
    x = 1,593.42

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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.