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Finding the Fourth Proportional to 2,647, 3,971.22 and 1,108.12

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Solution

The fourth proportional to 2,647, 3,971.22 and 1,108.12 is: 1,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647 : 3,971.22 = 1,108.12 : x
  2. Step 2: Convert to fraction form
    2,647/3,971.22 = 1,108.12/x
  3. Step 3: Cross multiply
    2,647x = 3,971.22 × 1,108.12
  4. Step 4: Simplify right side
    2,647x = 4,400,588.31
  5. Step 5: Solve for x
    x = 4,400,588.31/2,647
  6. Step 6: Final answer
    x = 1,662.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.