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Finding the Fourth Proportional to 2,231.26, 3,347.67 and 998.80

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Solution

The fourth proportional to 2,231.26, 3,347.67 and 998.80 is: 1,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.26 : 3,347.67 = 998.80 : x
  2. Step 2: Convert to fraction form
    2,231.26/3,347.67 = 998.80/x
  3. Step 3: Cross multiply
    2,231.26x = 3,347.67 × 998.80
  4. Step 4: Simplify right side
    2,231.26x = 3,343,652.80
  5. Step 5: Solve for x
    x = 3,343,652.80/2,231.26
  6. Step 6: Final answer
    x = 1,498.55

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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.