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Finding the Fourth Proportional to 2,157.60, 3,234.10 and 1,231.18

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Solution

The fourth proportional to 2,157.60, 3,234.10 and 1,231.18 is: 1,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.60 : 3,234.10 = 1,231.18 : x
  2. Step 2: Convert to fraction form
    2,157.60/3,234.10 = 1,231.18/x
  3. Step 3: Cross multiply
    2,157.60x = 3,234.10 × 1,231.18
  4. Step 4: Simplify right side
    2,157.60x = 3,981,759.24
  5. Step 5: Solve for x
    x = 3,981,759.24/2,157.60
  6. Step 6: Final answer
    x = 1,845.46

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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.