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Finding the Fourth Proportional to 2,767.44, 4,148.30 and 2,069.22

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Solution

The fourth proportional to 2,767.44, 4,148.30 and 2,069.22 is: 3,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.44 : 4,148.30 = 2,069.22 : x
  2. Step 2: Convert to fraction form
    2,767.44/4,148.30 = 2,069.22/x
  3. Step 3: Cross multiply
    2,767.44x = 4,148.30 × 2,069.22
  4. Step 4: Simplify right side
    2,767.44x = 8,583,745.33
  5. Step 5: Solve for x
    x = 8,583,745.33/2,767.44
  6. Step 6: Final answer
    x = 3,101.69

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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.