Home / 1,982.34-2,735.24-1,196.44

Finding the Fourth Proportional to 1,982.34, 2,735.24 and 1,196.44

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Solution

The fourth proportional to 1,982.34, 2,735.24 and 1,196.44 is: 1,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.34 : 2,735.24 = 1,196.44 : x
  2. Step 2: Convert to fraction form
    1,982.34/2,735.24 = 1,196.44/x
  3. Step 3: Cross multiply
    1,982.34x = 2,735.24 × 1,196.44
  4. Step 4: Simplify right side
    1,982.34x = 3,272,537.73
  5. Step 5: Solve for x
    x = 3,272,537.73/1,982.34
  6. Step 6: Final answer
    x = 1,650.85

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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.