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Finding the Fourth Proportional to 3,224.40, 4,832.82 and 1,489.38

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Solution

The fourth proportional to 3,224.40, 4,832.82 and 1,489.38 is: 2,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.40 : 4,832.82 = 1,489.38 : x
  2. Step 2: Convert to fraction form
    3,224.40/4,832.82 = 1,489.38/x
  3. Step 3: Cross multiply
    3,224.40x = 4,832.82 × 1,489.38
  4. Step 4: Simplify right side
    3,224.40x = 7,197,905.45
  5. Step 5: Solve for x
    x = 7,197,905.45/3,224.40
  6. Step 6: Final answer
    x = 2,232.32

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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.