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Finding the Fourth Proportional to 2,165.22, 3,247.83 and 778.95

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Solution

The fourth proportional to 2,165.22, 3,247.83 and 778.95 is: 1,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.22 : 3,247.83 = 778.95 : x
  2. Step 2: Convert to fraction form
    2,165.22/3,247.83 = 778.95/x
  3. Step 3: Cross multiply
    2,165.22x = 3,247.83 × 778.95
  4. Step 4: Simplify right side
    2,165.22x = 2,529,897.18
  5. Step 5: Solve for x
    x = 2,529,897.18/2,165.22
  6. Step 6: Final answer
    x = 1,168.43

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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.