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Finding the Fourth Proportional to 2,815.20, 4,219.20 and 1,351.20

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Solution

The fourth proportional to 2,815.20, 4,219.20 and 1,351.20 is: 2,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.20 : 4,219.20 = 1,351.20 : x
  2. Step 2: Convert to fraction form
    2,815.20/4,219.20 = 1,351.20/x
  3. Step 3: Cross multiply
    2,815.20x = 4,219.20 × 1,351.20
  4. Step 4: Simplify right side
    2,815.20x = 5,700,983.04
  5. Step 5: Solve for x
    x = 5,700,983.04/2,815.20
  6. Step 6: Final answer
    x = 2,025.07

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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.