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Finding the Fourth Proportional to 2,067.68, 3,099.89 and 1,416.44

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Solution

The fourth proportional to 2,067.68, 3,099.89 and 1,416.44 is: 2,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.68 : 3,099.89 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    2,067.68/3,099.89 = 1,416.44/x
  3. Step 3: Cross multiply
    2,067.68x = 3,099.89 × 1,416.44
  4. Step 4: Simplify right side
    2,067.68x = 4,390,796.23
  5. Step 5: Solve for x
    x = 4,390,796.23/2,067.68
  6. Step 6: Final answer
    x = 2,123.54

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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.