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Finding the Fourth Proportional to 3,219.20, 4,832.40 and 1,921.40

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Solution

The fourth proportional to 3,219.20, 4,832.40 and 1,921.40 is: 2,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.20 : 4,832.40 = 1,921.40 : x
  2. Step 2: Convert to fraction form
    3,219.20/4,832.40 = 1,921.40/x
  3. Step 3: Cross multiply
    3,219.20x = 4,832.40 × 1,921.40
  4. Step 4: Simplify right side
    3,219.20x = 9,284,973.36
  5. Step 5: Solve for x
    x = 9,284,973.36/3,219.20
  6. Step 6: Final answer
    x = 2,884.25

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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.