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Finding the Fourth Proportional to 2,622.32, 3,934.01 and 773.49

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Solution

The fourth proportional to 2,622.32, 3,934.01 and 773.49 is: 1,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.32 : 3,934.01 = 773.49 : x
  2. Step 2: Convert to fraction form
    2,622.32/3,934.01 = 773.49/x
  3. Step 3: Cross multiply
    2,622.32x = 3,934.01 × 773.49
  4. Step 4: Simplify right side
    2,622.32x = 3,042,917.39
  5. Step 5: Solve for x
    x = 3,042,917.39/2,622.32
  6. Step 6: Final answer
    x = 1,160.39

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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.