Home / 2,983.16-4,112.38-2,096.16

Finding the Fourth Proportional to 2,983.16, 4,112.38 and 2,096.16

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Solution

The fourth proportional to 2,983.16, 4,112.38 and 2,096.16 is: 2,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.16 : 4,112.38 = 2,096.16 : x
  2. Step 2: Convert to fraction form
    2,983.16/4,112.38 = 2,096.16/x
  3. Step 3: Cross multiply
    2,983.16x = 4,112.38 × 2,096.16
  4. Step 4: Simplify right side
    2,983.16x = 8,620,206.46
  5. Step 5: Solve for x
    x = 8,620,206.46/2,983.16
  6. Step 6: Final answer
    x = 2,889.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.