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Finding the Fourth Proportional to 2,174.12, 3,000.27 and 1,179.39

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Solution

The fourth proportional to 2,174.12, 3,000.27 and 1,179.39 is: 1,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.12 : 3,000.27 = 1,179.39 : x
  2. Step 2: Convert to fraction form
    2,174.12/3,000.27 = 1,179.39/x
  3. Step 3: Cross multiply
    2,174.12x = 3,000.27 × 1,179.39
  4. Step 4: Simplify right side
    2,174.12x = 3,538,504.11
  5. Step 5: Solve for x
    x = 3,538,504.11/2,174.12
  6. Step 6: Final answer
    x = 1,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.