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Finding the Fourth Proportional to 2,174.18, 3,000.41 and 1,179.50

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Solution

The fourth proportional to 2,174.18, 3,000.41 and 1,179.50 is: 1,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.18 : 3,000.41 = 1,179.50 : x
  2. Step 2: Convert to fraction form
    2,174.18/3,000.41 = 1,179.50/x
  3. Step 3: Cross multiply
    2,174.18x = 3,000.41 × 1,179.50
  4. Step 4: Simplify right side
    2,174.18x = 3,538,983.60
  5. Step 5: Solve for x
    x = 3,538,983.60/2,174.18
  6. Step 6: Final answer
    x = 1,627.73

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