Home / 2,135.88-3,203.37-819.21

Finding the Fourth Proportional to 2,135.88, 3,203.37 and 819.21

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Solution

The fourth proportional to 2,135.88, 3,203.37 and 819.21 is: 1,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.88 : 3,203.37 = 819.21 : x
  2. Step 2: Convert to fraction form
    2,135.88/3,203.37 = 819.21/x
  3. Step 3: Cross multiply
    2,135.88x = 3,203.37 × 819.21
  4. Step 4: Simplify right side
    2,135.88x = 2,624,232.74
  5. Step 5: Solve for x
    x = 2,624,232.74/2,135.88
  6. Step 6: Final answer
    x = 1,228.64

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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.