Home / 2,227.60-3,341.78-766.40

Finding the Fourth Proportional to 2,227.60, 3,341.78 and 766.40

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Solution

The fourth proportional to 2,227.60, 3,341.78 and 766.40 is: 1,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.60 : 3,341.78 = 766.40 : x
  2. Step 2: Convert to fraction form
    2,227.60/3,341.78 = 766.40/x
  3. Step 3: Cross multiply
    2,227.60x = 3,341.78 × 766.40
  4. Step 4: Simplify right side
    2,227.60x = 2,561,136.36
  5. Step 5: Solve for x
    x = 2,561,136.36/2,227.60
  6. Step 6: Final answer
    x = 1,149.73

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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.