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Finding the Fourth Proportional to 1,450.22, 1,997.16 and 1,384.64

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Solution

The fourth proportional to 1,450.22, 1,997.16 and 1,384.64 is: 1,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.22 : 1,997.16 = 1,384.64 : x
  2. Step 2: Convert to fraction form
    1,450.22/1,997.16 = 1,384.64/x
  3. Step 3: Cross multiply
    1,450.22x = 1,997.16 × 1,384.64
  4. Step 4: Simplify right side
    1,450.22x = 2,765,347.62
  5. Step 5: Solve for x
    x = 2,765,347.62/1,450.22
  6. Step 6: Final answer
    x = 1,906.85

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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.