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Finding the Fourth Proportional to 1,396.86, 2,093.13 and 819.06

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Solution

The fourth proportional to 1,396.86, 2,093.13 and 819.06 is: 1,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.86 : 2,093.13 = 819.06 : x
  2. Step 2: Convert to fraction form
    1,396.86/2,093.13 = 819.06/x
  3. Step 3: Cross multiply
    1,396.86x = 2,093.13 × 819.06
  4. Step 4: Simplify right side
    1,396.86x = 1,714,399.06
  5. Step 5: Solve for x
    x = 1,714,399.06/1,396.86
  6. Step 6: Final answer
    x = 1,227.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.