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Finding the Fourth Proportional to 2,233.09, 3,348.16 and 998.80

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Solution

The fourth proportional to 2,233.09, 3,348.16 and 998.80 is: 1,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.09 : 3,348.16 = 998.80 : x
  2. Step 2: Convert to fraction form
    2,233.09/3,348.16 = 998.80/x
  3. Step 3: Cross multiply
    2,233.09x = 3,348.16 × 998.80
  4. Step 4: Simplify right side
    2,233.09x = 3,344,137.21
  5. Step 5: Solve for x
    x = 3,344,137.21/2,233.09
  6. Step 6: Final answer
    x = 1,497.54

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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.