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Finding the Fourth Proportional to 1,367.27, 2,053.98 and 819.83

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Solution

The fourth proportional to 1,367.27, 2,053.98 and 819.83 is: 1,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.27 : 2,053.98 = 819.83 : x
  2. Step 2: Convert to fraction form
    1,367.27/2,053.98 = 819.83/x
  3. Step 3: Cross multiply
    1,367.27x = 2,053.98 × 819.83
  4. Step 4: Simplify right side
    1,367.27x = 1,683,904.15
  5. Step 5: Solve for x
    x = 1,683,904.15/1,367.27
  6. Step 6: Final answer
    x = 1,231.59

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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.