Home / 1,367.28-2,051.42-819.84

Finding the Fourth Proportional to 1,367.28, 2,051.42 and 819.84

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Solution

The fourth proportional to 1,367.28, 2,051.42 and 819.84 is: 1,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.28 : 2,051.42 = 819.84 : x
  2. Step 2: Convert to fraction form
    1,367.28/2,051.42 = 819.84/x
  3. Step 3: Cross multiply
    1,367.28x = 2,051.42 × 819.84
  4. Step 4: Simplify right side
    1,367.28x = 1,681,836.17
  5. Step 5: Solve for x
    x = 1,681,836.17/1,367.28
  6. Step 6: Final answer
    x = 1,230.06

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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.