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Finding the Fourth Proportional to 2,227.78, 3,341.22 and 766.99

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Solution

The fourth proportional to 2,227.78, 3,341.22 and 766.99 is: 1,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.78 : 3,341.22 = 766.99 : x
  2. Step 2: Convert to fraction form
    2,227.78/3,341.22 = 766.99/x
  3. Step 3: Cross multiply
    2,227.78x = 3,341.22 × 766.99
  4. Step 4: Simplify right side
    2,227.78x = 2,562,682.33
  5. Step 5: Solve for x
    x = 2,562,682.33/2,227.78
  6. Step 6: Final answer
    x = 1,150.33

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