Home / 2,280.27-3,421.77-819.54

Finding the Fourth Proportional to 2,280.27, 3,421.77 and 819.54

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Solution

The fourth proportional to 2,280.27, 3,421.77 and 819.54 is: 1,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.27 : 3,421.77 = 819.54 : x
  2. Step 2: Convert to fraction form
    2,280.27/3,421.77 = 819.54/x
  3. Step 3: Cross multiply
    2,280.27x = 3,421.77 × 819.54
  4. Step 4: Simplify right side
    2,280.27x = 2,804,277.39
  5. Step 5: Solve for x
    x = 2,804,277.39/2,280.27
  6. Step 6: Final answer
    x = 1,229.80

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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.