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Finding the Fourth Proportional to 3,023.73, 4,171.17 and 1,902.56

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Solution

The fourth proportional to 3,023.73, 4,171.17 and 1,902.56 is: 2,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.73 : 4,171.17 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    3,023.73/4,171.17 = 1,902.56/x
  3. Step 3: Cross multiply
    3,023.73x = 4,171.17 × 1,902.56
  4. Step 4: Simplify right side
    3,023.73x = 7,935,880.34
  5. Step 5: Solve for x
    x = 7,935,880.34/3,023.73
  6. Step 6: Final answer
    x = 2,624.53

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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.