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Finding the Fourth Proportional to 1,485.43, 2,231.62 and 869.56

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Solution

The fourth proportional to 1,485.43, 2,231.62 and 869.56 is: 1,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.43 : 2,231.62 = 869.56 : x
  2. Step 2: Convert to fraction form
    1,485.43/2,231.62 = 869.56/x
  3. Step 3: Cross multiply
    1,485.43x = 2,231.62 × 869.56
  4. Step 4: Simplify right side
    1,485.43x = 1,940,519.73
  5. Step 5: Solve for x
    x = 1,940,519.73/1,485.43
  6. Step 6: Final answer
    x = 1,306.37

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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.