Home / 2,096.97-3,146.67-1,984.38

Finding the Fourth Proportional to 2,096.97, 3,146.67 and 1,984.38

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Solution

The fourth proportional to 2,096.97, 3,146.67 and 1,984.38 is: 2,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.97 : 3,146.67 = 1,984.38 : x
  2. Step 2: Convert to fraction form
    2,096.97/3,146.67 = 1,984.38/x
  3. Step 3: Cross multiply
    2,096.97x = 3,146.67 × 1,984.38
  4. Step 4: Simplify right side
    2,096.97x = 6,244,189.01
  5. Step 5: Solve for x
    x = 6,244,189.01/2,096.97
  6. Step 6: Final answer
    x = 2,977.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.