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Finding the Fourth Proportional to 2,614.87, 3,922.10 and 667.02

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Solution

The fourth proportional to 2,614.87, 3,922.10 and 667.02 is: 1,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.87 : 3,922.10 = 667.02 : x
  2. Step 2: Convert to fraction form
    2,614.87/3,922.10 = 667.02/x
  3. Step 3: Cross multiply
    2,614.87x = 3,922.10 × 667.02
  4. Step 4: Simplify right side
    2,614.87x = 2,616,119.14
  5. Step 5: Solve for x
    x = 2,616,119.14/2,614.87
  6. Step 6: Final answer
    x = 1,000.48

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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.