Home / 2,206.45-3,307.56-819.41

Finding the Fourth Proportional to 2,206.45, 3,307.56 and 819.41

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Solution

The fourth proportional to 2,206.45, 3,307.56 and 819.41 is: 1,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.45 : 3,307.56 = 819.41 : x
  2. Step 2: Convert to fraction form
    2,206.45/3,307.56 = 819.41/x
  3. Step 3: Cross multiply
    2,206.45x = 3,307.56 × 819.41
  4. Step 4: Simplify right side
    2,206.45x = 2,710,247.74
  5. Step 5: Solve for x
    x = 2,710,247.74/2,206.45
  6. Step 6: Final answer
    x = 1,228.33

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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.