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Finding the Fourth Proportional to 2,150.60, 3,227.70 and 982.40

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Solution

The fourth proportional to 2,150.60, 3,227.70 and 982.40 is: 1,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.60 : 3,227.70 = 982.40 : x
  2. Step 2: Convert to fraction form
    2,150.60/3,227.70 = 982.40/x
  3. Step 3: Cross multiply
    2,150.60x = 3,227.70 × 982.40
  4. Step 4: Simplify right side
    2,150.60x = 3,170,892.48
  5. Step 5: Solve for x
    x = 3,170,892.48/2,150.60
  6. Step 6: Final answer
    x = 1,474.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.