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Finding the Fourth Proportional to 2,067.81, 2,851.25 and 1,507.29

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Solution

The fourth proportional to 2,067.81, 2,851.25 and 1,507.29 is: 2,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.81 : 2,851.25 = 1,507.29 : x
  2. Step 2: Convert to fraction form
    2,067.81/2,851.25 = 1,507.29/x
  3. Step 3: Cross multiply
    2,067.81x = 2,851.25 × 1,507.29
  4. Step 4: Simplify right side
    2,067.81x = 4,297,653.08
  5. Step 5: Solve for x
    x = 4,297,653.08/2,067.81
  6. Step 6: Final answer
    x = 2,078.36

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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.