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Finding the Fourth Proportional to 1,229.92, 1,833.92 and 1,214.80

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Solution

The fourth proportional to 1,229.92, 1,833.92 and 1,214.80 is: 1,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.92 : 1,833.92 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    1,229.92/1,833.92 = 1,214.80/x
  3. Step 3: Cross multiply
    1,229.92x = 1,833.92 × 1,214.80
  4. Step 4: Simplify right side
    1,229.92x = 2,227,846.02
  5. Step 5: Solve for x
    x = 2,227,846.02/1,229.92
  6. Step 6: Final answer
    x = 1,811.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.