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Finding the Fourth Proportional to 2,108.98, 3,162.49 and 1,231.74

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Solution

The fourth proportional to 2,108.98, 3,162.49 and 1,231.74 is: 1,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.98 : 3,162.49 = 1,231.74 : x
  2. Step 2: Convert to fraction form
    2,108.98/3,162.49 = 1,231.74/x
  3. Step 3: Cross multiply
    2,108.98x = 3,162.49 × 1,231.74
  4. Step 4: Simplify right side
    2,108.98x = 3,895,343.46
  5. Step 5: Solve for x
    x = 3,895,343.46/2,108.98
  6. Step 6: Final answer
    x = 1,847.03

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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.