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Finding the Fourth Proportional to 3,023.66, 4,174.13 and 1,906.31

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Solution

The fourth proportional to 3,023.66, 4,174.13 and 1,906.31 is: 2,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.66 : 4,174.13 = 1,906.31 : x
  2. Step 2: Convert to fraction form
    3,023.66/4,174.13 = 1,906.31/x
  3. Step 3: Cross multiply
    3,023.66x = 4,174.13 × 1,906.31
  4. Step 4: Simplify right side
    3,023.66x = 7,957,200.96
  5. Step 5: Solve for x
    x = 7,957,200.96/3,023.66
  6. Step 6: Final answer
    x = 2,631.65

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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.