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Finding the Fourth Proportional to 2,325.46, 3,489.39 and 1,285.27

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Solution

The fourth proportional to 2,325.46, 3,489.39 and 1,285.27 is: 1,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.46 : 3,489.39 = 1,285.27 : x
  2. Step 2: Convert to fraction form
    2,325.46/3,489.39 = 1,285.27/x
  3. Step 3: Cross multiply
    2,325.46x = 3,489.39 × 1,285.27
  4. Step 4: Simplify right side
    2,325.46x = 4,484,793.24
  5. Step 5: Solve for x
    x = 4,484,793.24/2,325.46
  6. Step 6: Final answer
    x = 1,928.56

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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.