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Finding the Fourth Proportional to 2,073.13, 2,862.30 and 1,593.73

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Solution

The fourth proportional to 2,073.13, 2,862.30 and 1,593.73 is: 2,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.13 : 2,862.30 = 1,593.73 : x
  2. Step 2: Convert to fraction form
    2,073.13/2,862.30 = 1,593.73/x
  3. Step 3: Cross multiply
    2,073.13x = 2,862.30 × 1,593.73
  4. Step 4: Simplify right side
    2,073.13x = 4,561,733.38
  5. Step 5: Solve for x
    x = 4,561,733.38/2,073.13
  6. Step 6: Final answer
    x = 2,200.41

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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.