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Finding the Fourth Proportional to 1,489.97, 2,234.95 and 668.22

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Solution

The fourth proportional to 1,489.97, 2,234.95 and 668.22 is: 1,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.97 : 2,234.95 = 668.22 : x
  2. Step 2: Convert to fraction form
    1,489.97/2,234.95 = 668.22/x
  3. Step 3: Cross multiply
    1,489.97x = 2,234.95 × 668.22
  4. Step 4: Simplify right side
    1,489.97x = 1,493,436.62
  5. Step 5: Solve for x
    x = 1,493,436.62/1,489.97
  6. Step 6: Final answer
    x = 1,002.33

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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.