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Finding the Fourth Proportional to 2,593.09, 3,889.68 and 1,496.80

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Solution

The fourth proportional to 2,593.09, 3,889.68 and 1,496.80 is: 2,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.09 : 3,889.68 = 1,496.80 : x
  2. Step 2: Convert to fraction form
    2,593.09/3,889.68 = 1,496.80/x
  3. Step 3: Cross multiply
    2,593.09x = 3,889.68 × 1,496.80
  4. Step 4: Simplify right side
    2,593.09x = 5,822,073.02
  5. Step 5: Solve for x
    x = 5,822,073.02/2,593.09
  6. Step 6: Final answer
    x = 2,245.23

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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.