Home / 2,083.24-3,124.50-696.43

Finding the Fourth Proportional to 2,083.24, 3,124.50 and 696.43

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Solution

The fourth proportional to 2,083.24, 3,124.50 and 696.43 is: 1,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.24 : 3,124.50 = 696.43 : x
  2. Step 2: Convert to fraction form
    2,083.24/3,124.50 = 696.43/x
  3. Step 3: Cross multiply
    2,083.24x = 3,124.50 × 696.43
  4. Step 4: Simplify right side
    2,083.24x = 2,175,995.54
  5. Step 5: Solve for x
    x = 2,175,995.54/2,083.24
  6. Step 6: Final answer
    x = 1,044.52

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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.