Home / 1,982.91-2,736.38-1,098.71

Finding the Fourth Proportional to 1,982.91, 2,736.38 and 1,098.71

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Solution

The fourth proportional to 1,982.91, 2,736.38 and 1,098.71 is: 1,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.91 : 2,736.38 = 1,098.71 : x
  2. Step 2: Convert to fraction form
    1,982.91/2,736.38 = 1,098.71/x
  3. Step 3: Cross multiply
    1,982.91x = 2,736.38 × 1,098.71
  4. Step 4: Simplify right side
    1,982.91x = 3,006,488.07
  5. Step 5: Solve for x
    x = 3,006,488.07/1,982.91
  6. Step 6: Final answer
    x = 1,516.20

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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.