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Finding the Fourth Proportional to 2,593.09, 3,578.73 and 1,585.38

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Solution

The fourth proportional to 2,593.09, 3,578.73 and 1,585.38 is: 2,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.09 : 3,578.73 = 1,585.38 : x
  2. Step 2: Convert to fraction form
    2,593.09/3,578.73 = 1,585.38/x
  3. Step 3: Cross multiply
    2,593.09x = 3,578.73 × 1,585.38
  4. Step 4: Simplify right side
    2,593.09x = 5,673,646.97
  5. Step 5: Solve for x
    x = 5,673,646.97/2,593.09
  6. Step 6: Final answer
    x = 2,187.99

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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.