Home / 2,028.09-2,798.68-1,143.78

Finding the Fourth Proportional to 2,028.09, 2,798.68 and 1,143.78

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Solution

The fourth proportional to 2,028.09, 2,798.68 and 1,143.78 is: 1,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.09 : 2,798.68 = 1,143.78 : x
  2. Step 2: Convert to fraction form
    2,028.09/2,798.68 = 1,143.78/x
  3. Step 3: Cross multiply
    2,028.09x = 2,798.68 × 1,143.78
  4. Step 4: Simplify right side
    2,028.09x = 3,201,074.21
  5. Step 5: Solve for x
    x = 3,201,074.21/2,028.09
  6. Step 6: Final answer
    x = 1,578.37

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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.