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Finding the Fourth Proportional to 2,422.72, 3,634.04 and 779.24

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Solution

The fourth proportional to 2,422.72, 3,634.04 and 779.24 is: 1,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.72 : 3,634.04 = 779.24 : x
  2. Step 2: Convert to fraction form
    2,422.72/3,634.04 = 779.24/x
  3. Step 3: Cross multiply
    2,422.72x = 3,634.04 × 779.24
  4. Step 4: Simplify right side
    2,422.72x = 2,831,789.33
  5. Step 5: Solve for x
    x = 2,831,789.33/2,422.72
  6. Step 6: Final answer
    x = 1,168.85

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