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Finding the Fourth Proportional to 2,399.20, 3,310.80 and 1,612

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Solution

The fourth proportional to 2,399.20, 3,310.80 and 1,612 is: 2,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.20 : 3,310.80 = 1,612 : x
  2. Step 2: Convert to fraction form
    2,399.20/3,310.80 = 1,612/x
  3. Step 3: Cross multiply
    2,399.20x = 3,310.80 × 1,612
  4. Step 4: Simplify right side
    2,399.20x = 5,337,009.60
  5. Step 5: Solve for x
    x = 5,337,009.60/2,399.20
  6. Step 6: Final answer
    x = 2,224.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.