Home / 2,814.42-4,222.71-1,982.28

Finding the Fourth Proportional to 2,814.42, 4,222.71 and 1,982.28

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Solution

The fourth proportional to 2,814.42, 4,222.71 and 1,982.28 is: 2,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.42 : 4,222.71 = 1,982.28 : x
  2. Step 2: Convert to fraction form
    2,814.42/4,222.71 = 1,982.28/x
  3. Step 3: Cross multiply
    2,814.42x = 4,222.71 × 1,982.28
  4. Step 4: Simplify right side
    2,814.42x = 8,370,593.58
  5. Step 5: Solve for x
    x = 8,370,593.58/2,814.42
  6. Step 6: Final answer
    x = 2,974.18

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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.