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Finding the Fourth Proportional to 2,067.05, 2,851.05 and 1,270.41

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Solution

The fourth proportional to 2,067.05, 2,851.05 and 1,270.41 is: 1,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.05 : 2,851.05 = 1,270.41 : x
  2. Step 2: Convert to fraction form
    2,067.05/2,851.05 = 1,270.41/x
  3. Step 3: Cross multiply
    2,067.05x = 2,851.05 × 1,270.41
  4. Step 4: Simplify right side
    2,067.05x = 3,622,002.43
  5. Step 5: Solve for x
    x = 3,622,002.43/2,067.05
  6. Step 6: Final answer
    x = 1,752.26

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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.