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Finding the Fourth Proportional to 2,593.35, 3,889.83 and 814.41

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Solution

The fourth proportional to 2,593.35, 3,889.83 and 814.41 is: 1,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.35 : 3,889.83 = 814.41 : x
  2. Step 2: Convert to fraction form
    2,593.35/3,889.83 = 814.41/x
  3. Step 3: Cross multiply
    2,593.35x = 3,889.83 × 814.41
  4. Step 4: Simplify right side
    2,593.35x = 3,167,916.45
  5. Step 5: Solve for x
    x = 3,167,916.45/2,593.35
  6. Step 6: Final answer
    x = 1,221.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.