Home / 2,119.14-3,178.62-964.89

Finding the Fourth Proportional to 2,119.14, 3,178.62 and 964.89

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Solution

The fourth proportional to 2,119.14, 3,178.62 and 964.89 is: 1,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.14 : 3,178.62 = 964.89 : x
  2. Step 2: Convert to fraction form
    2,119.14/3,178.62 = 964.89/x
  3. Step 3: Cross multiply
    2,119.14x = 3,178.62 × 964.89
  4. Step 4: Simplify right side
    2,119.14x = 3,067,018.65
  5. Step 5: Solve for x
    x = 3,067,018.65/2,119.14
  6. Step 6: Final answer
    x = 1,447.29

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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.