Home / 2,120.15-3,178.51-965.09

Finding the Fourth Proportional to 2,120.15, 3,178.51 and 965.09

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Solution

The fourth proportional to 2,120.15, 3,178.51 and 965.09 is: 1,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.15 : 3,178.51 = 965.09 : x
  2. Step 2: Convert to fraction form
    2,120.15/3,178.51 = 965.09/x
  3. Step 3: Cross multiply
    2,120.15x = 3,178.51 × 965.09
  4. Step 4: Simplify right side
    2,120.15x = 3,067,548.22
  5. Step 5: Solve for x
    x = 3,067,548.22/2,120.15
  6. Step 6: Final answer
    x = 1,446.85

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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.