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Finding the Fourth Proportional to 2,028.29, 2,799.02 and 1,144.38

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Solution

The fourth proportional to 2,028.29, 2,799.02 and 1,144.38 is: 1,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.29 : 2,799.02 = 1,144.38 : x
  2. Step 2: Convert to fraction form
    2,028.29/2,799.02 = 1,144.38/x
  3. Step 3: Cross multiply
    2,028.29x = 2,799.02 × 1,144.38
  4. Step 4: Simplify right side
    2,028.29x = 3,203,142.51
  5. Step 5: Solve for x
    x = 3,203,142.51/2,028.29
  6. Step 6: Final answer
    x = 1,579.23

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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.