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Finding the Fourth Proportional to 2,980.43, 4,472.22 and 2,165.44

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Solution

The fourth proportional to 2,980.43, 4,472.22 and 2,165.44 is: 3,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.43 : 4,472.22 = 2,165.44 : x
  2. Step 2: Convert to fraction form
    2,980.43/4,472.22 = 2,165.44/x
  3. Step 3: Cross multiply
    2,980.43x = 4,472.22 × 2,165.44
  4. Step 4: Simplify right side
    2,980.43x = 9,684,324.08
  5. Step 5: Solve for x
    x = 9,684,324.08/2,980.43
  6. Step 6: Final answer
    x = 3,249.30

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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.