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Finding the Fourth Proportional to 2,157.40, 3,231.96 and 1,230.22

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Solution

The fourth proportional to 2,157.40, 3,231.96 and 1,230.22 is: 1,842.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.40 : 3,231.96 = 1,230.22 : x
  2. Step 2: Convert to fraction form
    2,157.40/3,231.96 = 1,230.22/x
  3. Step 3: Cross multiply
    2,157.40x = 3,231.96 × 1,230.22
  4. Step 4: Simplify right side
    2,157.40x = 3,976,021.83
  5. Step 5: Solve for x
    x = 3,976,021.83/2,157.40
  6. Step 6: Final answer
    x = 1,842.97

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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.