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Finding the Fourth Proportional to 2,127.92, 3,189.96 and 1,214

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Solution

The fourth proportional to 2,127.92, 3,189.96 and 1,214 is: 1,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.92 : 3,189.96 = 1,214 : x
  2. Step 2: Convert to fraction form
    2,127.92/3,189.96 = 1,214/x
  3. Step 3: Cross multiply
    2,127.92x = 3,189.96 × 1,214
  4. Step 4: Simplify right side
    2,127.92x = 3,872,611.44
  5. Step 5: Solve for x
    x = 3,872,611.44/2,127.92
  6. Step 6: Final answer
    x = 1,819.90

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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.