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Finding the Fourth Proportional to 2,622.22, 3,932.79 and 772.95

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Solution

The fourth proportional to 2,622.22, 3,932.79 and 772.95 is: 1,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.22 : 3,932.79 = 772.95 : x
  2. Step 2: Convert to fraction form
    2,622.22/3,932.79 = 772.95/x
  3. Step 3: Cross multiply
    2,622.22x = 3,932.79 × 772.95
  4. Step 4: Simplify right side
    2,622.22x = 3,039,850.03
  5. Step 5: Solve for x
    x = 3,039,850.03/2,622.22
  6. Step 6: Final answer
    x = 1,159.27

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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.