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Finding the Fourth Proportional to 2,147.08, 3,218.44 and 830.48

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Solution

The fourth proportional to 2,147.08, 3,218.44 and 830.48 is: 1,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.08 : 3,218.44 = 830.48 : x
  2. Step 2: Convert to fraction form
    2,147.08/3,218.44 = 830.48/x
  3. Step 3: Cross multiply
    2,147.08x = 3,218.44 × 830.48
  4. Step 4: Simplify right side
    2,147.08x = 2,672,850.05
  5. Step 5: Solve for x
    x = 2,672,850.05/2,147.08
  6. Step 6: Final answer
    x = 1,244.88

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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.