Home / 2,119.30-3,178.80-733.18

Finding the Fourth Proportional to 2,119.30, 3,178.80 and 733.18

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Solution

The fourth proportional to 2,119.30, 3,178.80 and 733.18 is: 1,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.30 : 3,178.80 = 733.18 : x
  2. Step 2: Convert to fraction form
    2,119.30/3,178.80 = 733.18/x
  3. Step 3: Cross multiply
    2,119.30x = 3,178.80 × 733.18
  4. Step 4: Simplify right side
    2,119.30x = 2,330,632.58
  5. Step 5: Solve for x
    x = 2,330,632.58/2,119.30
  6. Step 6: Final answer
    x = 1,099.72

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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.