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Finding the Fourth Proportional to 3,023.64, 4,174.20 and 1,906.20

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Solution

The fourth proportional to 3,023.64, 4,174.20 and 1,906.20 is: 2,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.64 : 4,174.20 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,023.64/4,174.20 = 1,906.20/x
  3. Step 3: Cross multiply
    3,023.64x = 4,174.20 × 1,906.20
  4. Step 4: Simplify right side
    3,023.64x = 7,956,860.04
  5. Step 5: Solve for x
    x = 7,956,860.04/3,023.64
  6. Step 6: Final answer
    x = 2,631.55

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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.