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Finding the Fourth Proportional to 1,900.26, 2,849.84 and 667.44

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Solution

The fourth proportional to 1,900.26, 2,849.84 and 667.44 is: 1,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.26 : 2,849.84 = 667.44 : x
  2. Step 2: Convert to fraction form
    1,900.26/2,849.84 = 667.44/x
  3. Step 3: Cross multiply
    1,900.26x = 2,849.84 × 667.44
  4. Step 4: Simplify right side
    1,900.26x = 1,902,097.21
  5. Step 5: Solve for x
    x = 1,902,097.21/1,900.26
  6. Step 6: Final answer
    x = 1,000.97

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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.