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Finding the Fourth Proportional to 1,593.50, 2,391.69 and 814.05

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Solution

The fourth proportional to 1,593.50, 2,391.69 and 814.05 is: 1,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.50 : 2,391.69 = 814.05 : x
  2. Step 2: Convert to fraction form
    1,593.50/2,391.69 = 814.05/x
  3. Step 3: Cross multiply
    1,593.50x = 2,391.69 × 814.05
  4. Step 4: Simplify right side
    1,593.50x = 1,946,955.24
  5. Step 5: Solve for x
    x = 1,946,955.24/1,593.50
  6. Step 6: Final answer
    x = 1,221.81

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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.