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Finding the Fourth Proportional to 2,231.55, 3,347.69 and 998.96

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Solution

The fourth proportional to 2,231.55, 3,347.69 and 998.96 is: 1,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.55 : 3,347.69 = 998.96 : x
  2. Step 2: Convert to fraction form
    2,231.55/3,347.69 = 998.96/x
  3. Step 3: Cross multiply
    2,231.55x = 3,347.69 × 998.96
  4. Step 4: Simplify right side
    2,231.55x = 3,344,186.67
  5. Step 5: Solve for x
    x = 3,344,186.67/2,231.55
  6. Step 6: Final answer
    x = 1,498.59

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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.