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Finding the Fourth Proportional to 2,165.86, 3,247.92 and 779.22

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Solution

The fourth proportional to 2,165.86, 3,247.92 and 779.22 is: 1,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.86 : 3,247.92 = 779.22 : x
  2. Step 2: Convert to fraction form
    2,165.86/3,247.92 = 779.22/x
  3. Step 3: Cross multiply
    2,165.86x = 3,247.92 × 779.22
  4. Step 4: Simplify right side
    2,165.86x = 2,530,844.22
  5. Step 5: Solve for x
    x = 2,530,844.22/2,165.86
  6. Step 6: Final answer
    x = 1,168.52

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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.