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Finding the Fourth Proportional to 3,006.78, 4,145.56 and 1,942.75

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Solution

The fourth proportional to 3,006.78, 4,145.56 and 1,942.75 is: 2,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.78 : 4,145.56 = 1,942.75 : x
  2. Step 2: Convert to fraction form
    3,006.78/4,145.56 = 1,942.75/x
  3. Step 3: Cross multiply
    3,006.78x = 4,145.56 × 1,942.75
  4. Step 4: Simplify right side
    3,006.78x = 8,053,786.69
  5. Step 5: Solve for x
    x = 8,053,786.69/3,006.78
  6. Step 6: Final answer
    x = 2,678.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.