Home / 2,096.14-3,138.26-1,601.98

Finding the Fourth Proportional to 2,096.14, 3,138.26 and 1,601.98

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Solution

The fourth proportional to 2,096.14, 3,138.26 and 1,601.98 is: 2,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.14 : 3,138.26 = 1,601.98 : x
  2. Step 2: Convert to fraction form
    2,096.14/3,138.26 = 1,601.98/x
  3. Step 3: Cross multiply
    2,096.14x = 3,138.26 × 1,601.98
  4. Step 4: Simplify right side
    2,096.14x = 5,027,429.75
  5. Step 5: Solve for x
    x = 5,027,429.75/2,096.14
  6. Step 6: Final answer
    x = 2,398.42

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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.