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Finding the Fourth Proportional to 2,183.86, 3,276.35 and 797.34

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Solution

The fourth proportional to 2,183.86, 3,276.35 and 797.34 is: 1,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.86 : 3,276.35 = 797.34 : x
  2. Step 2: Convert to fraction form
    2,183.86/3,276.35 = 797.34/x
  3. Step 3: Cross multiply
    2,183.86x = 3,276.35 × 797.34
  4. Step 4: Simplify right side
    2,183.86x = 2,612,376.20
  5. Step 5: Solve for x
    x = 2,612,376.20/2,183.86
  6. Step 6: Final answer
    x = 1,196.22

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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.