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Finding the Fourth Proportional to 1,404.22, 1,936.32 and 984.44

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Solution

The fourth proportional to 1,404.22, 1,936.32 and 984.44 is: 1,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.22 : 1,936.32 = 984.44 : x
  2. Step 2: Convert to fraction form
    1,404.22/1,936.32 = 984.44/x
  3. Step 3: Cross multiply
    1,404.22x = 1,936.32 × 984.44
  4. Step 4: Simplify right side
    1,404.22x = 1,906,190.86
  5. Step 5: Solve for x
    x = 1,906,190.86/1,404.22
  6. Step 6: Final answer
    x = 1,357.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.