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Finding the Fourth Proportional to 2,614.21, 3,584.22 and 2,567.43

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Solution

The fourth proportional to 2,614.21, 3,584.22 and 2,567.43 is: 3,520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.21 : 3,584.22 = 2,567.43 : x
  2. Step 2: Convert to fraction form
    2,614.21/3,584.22 = 2,567.43/x
  3. Step 3: Cross multiply
    2,614.21x = 3,584.22 × 2,567.43
  4. Step 4: Simplify right side
    2,614.21x = 9,202,224.33
  5. Step 5: Solve for x
    x = 9,202,224.33/2,614.21
  6. Step 6: Final answer
    x = 3,520.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.