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Finding the Fourth Proportional to 3,232.30, 4,847.90 and 923.26

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Solution

The fourth proportional to 3,232.30, 4,847.90 and 923.26 is: 1,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.30 : 4,847.90 = 923.26 : x
  2. Step 2: Convert to fraction form
    3,232.30/4,847.90 = 923.26/x
  3. Step 3: Cross multiply
    3,232.30x = 4,847.90 × 923.26
  4. Step 4: Simplify right side
    3,232.30x = 4,475,872.15
  5. Step 5: Solve for x
    x = 4,475,872.15/3,232.30
  6. Step 6: Final answer
    x = 1,384.73

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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.