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Finding the Fourth Proportional to 2,649.16, 3,972.98 and 1,067.88

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Solution

The fourth proportional to 2,649.16, 3,972.98 and 1,067.88 is: 1,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.16 : 3,972.98 = 1,067.88 : x
  2. Step 2: Convert to fraction form
    2,649.16/3,972.98 = 1,067.88/x
  3. Step 3: Cross multiply
    2,649.16x = 3,972.98 × 1,067.88
  4. Step 4: Simplify right side
    2,649.16x = 4,242,665.88
  5. Step 5: Solve for x
    x = 4,242,665.88/2,649.16
  6. Step 6: Final answer
    x = 1,601.51

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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.