Home / 2,280.16-3,420.48-819.44

Finding the Fourth Proportional to 2,280.16, 3,420.48 and 819.44

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Solution

The fourth proportional to 2,280.16, 3,420.48 and 819.44 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.16 : 3,420.48 = 819.44 : x
  2. Step 2: Convert to fraction form
    2,280.16/3,420.48 = 819.44/x
  3. Step 3: Cross multiply
    2,280.16x = 3,420.48 × 819.44
  4. Step 4: Simplify right side
    2,280.16x = 2,802,878.13
  5. Step 5: Solve for x
    x = 2,802,878.13/2,280.16
  6. Step 6: Final answer
    x = 1,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.