Home / 2,178.14-3,005.84-1,183.42

Finding the Fourth Proportional to 2,178.14, 3,005.84 and 1,183.42

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Solution

The fourth proportional to 2,178.14, 3,005.84 and 1,183.42 is: 1,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.14 : 3,005.84 = 1,183.42 : x
  2. Step 2: Convert to fraction form
    2,178.14/3,005.84 = 1,183.42/x
  3. Step 3: Cross multiply
    2,178.14x = 3,005.84 × 1,183.42
  4. Step 4: Simplify right side
    2,178.14x = 3,557,171.17
  5. Step 5: Solve for x
    x = 3,557,171.17/2,178.14
  6. Step 6: Final answer
    x = 1,633.12

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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.