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Finding the Fourth Proportional to 3,202.06, 4,420.06 and 2,154.73

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Solution

The fourth proportional to 3,202.06, 4,420.06 and 2,154.73 is: 2,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.06 : 4,420.06 = 2,154.73 : x
  2. Step 2: Convert to fraction form
    3,202.06/4,420.06 = 2,154.73/x
  3. Step 3: Cross multiply
    3,202.06x = 4,420.06 × 2,154.73
  4. Step 4: Simplify right side
    3,202.06x = 9,524,035.88
  5. Step 5: Solve for x
    x = 9,524,035.88/3,202.06
  6. Step 6: Final answer
    x = 2,974.35

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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.