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Finding the Fourth Proportional to 3,106.78, 4,661.99 and 2,228.33

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Solution

The fourth proportional to 3,106.78, 4,661.99 and 2,228.33 is: 3,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,661.99 = 2,228.33 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,661.99 = 2,228.33/x
  3. Step 3: Cross multiply
    3,106.78x = 4,661.99 × 2,228.33
  4. Step 4: Simplify right side
    3,106.78x = 10,388,461.05
  5. Step 5: Solve for x
    x = 10,388,461.05/3,106.78
  6. Step 6: Final answer
    x = 3,343.81

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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.