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Finding the Fourth Proportional to 1,593.70, 2,380.30 and 1,375

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Solution

The fourth proportional to 1,593.70, 2,380.30 and 1,375 is: 2,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.70 : 2,380.30 = 1,375 : x
  2. Step 2: Convert to fraction form
    1,593.70/2,380.30 = 1,375/x
  3. Step 3: Cross multiply
    1,593.70x = 2,380.30 × 1,375
  4. Step 4: Simplify right side
    1,593.70x = 3,272,912.50
  5. Step 5: Solve for x
    x = 3,272,912.50/1,593.70
  6. Step 6: Final answer
    x = 2,053.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.