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Finding the Fourth Proportional to 2,287.67, 3,431.30 and 621.73

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Solution

The fourth proportional to 2,287.67, 3,431.30 and 621.73 is: 932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.67 : 3,431.30 = 621.73 : x
  2. Step 2: Convert to fraction form
    2,287.67/3,431.30 = 621.73/x
  3. Step 3: Cross multiply
    2,287.67x = 3,431.30 × 621.73
  4. Step 4: Simplify right side
    2,287.67x = 2,133,342.15
  5. Step 5: Solve for x
    x = 2,133,342.15/2,287.67
  6. Step 6: Final answer
    x = 932.54

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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.