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Finding the Fourth Proportional to 2,067.72, 2,852.16 and 1,508.82

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Solution

The fourth proportional to 2,067.72, 2,852.16 and 1,508.82 is: 2,081.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.72 : 2,852.16 = 1,508.82 : x
  2. Step 2: Convert to fraction form
    2,067.72/2,852.16 = 1,508.82/x
  3. Step 3: Cross multiply
    2,067.72x = 2,852.16 × 1,508.82
  4. Step 4: Simplify right side
    2,067.72x = 4,303,396.05
  5. Step 5: Solve for x
    x = 4,303,396.05/2,067.72
  6. Step 6: Final answer
    x = 2,081.23

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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.