Home / 2,280.13-3,420.37-819.30

Finding the Fourth Proportional to 2,280.13, 3,420.37 and 819.30

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Solution

The fourth proportional to 2,280.13, 3,420.37 and 819.30 is: 1,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.13 : 3,420.37 = 819.30 : x
  2. Step 2: Convert to fraction form
    2,280.13/3,420.37 = 819.30/x
  3. Step 3: Cross multiply
    2,280.13x = 3,420.37 × 819.30
  4. Step 4: Simplify right side
    2,280.13x = 2,802,309.14
  5. Step 5: Solve for x
    x = 2,802,309.14/2,280.13
  6. Step 6: Final answer
    x = 1,229.01

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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.