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Finding the Fourth Proportional to 2,219.67, 3,327.17 and 832.10

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Solution

The fourth proportional to 2,219.67, 3,327.17 and 832.10 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.67 : 3,327.17 = 832.10 : x
  2. Step 2: Convert to fraction form
    2,219.67/3,327.17 = 832.10/x
  3. Step 3: Cross multiply
    2,219.67x = 3,327.17 × 832.10
  4. Step 4: Simplify right side
    2,219.67x = 2,768,517.36
  5. Step 5: Solve for x
    x = 2,768,517.36/2,219.67
  6. Step 6: Final answer
    x = 1,247.27

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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.