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Finding the Fourth Proportional to 2,083.99, 3,126.02 and 523.97

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Solution

The fourth proportional to 2,083.99, 3,126.02 and 523.97 is: 785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.99 : 3,126.02 = 523.97 : x
  2. Step 2: Convert to fraction form
    2,083.99/3,126.02 = 523.97/x
  3. Step 3: Cross multiply
    2,083.99x = 3,126.02 × 523.97
  4. Step 4: Simplify right side
    2,083.99x = 1,637,940.70
  5. Step 5: Solve for x
    x = 1,637,940.70/2,083.99
  6. Step 6: Final answer
    x = 785.96

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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.