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Finding the Fourth Proportional to 2,028.48, 2,799.28 and 1,144.28

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Solution

The fourth proportional to 2,028.48, 2,799.28 and 1,144.28 is: 1,579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.48 : 2,799.28 = 1,144.28 : x
  2. Step 2: Convert to fraction form
    2,028.48/2,799.28 = 1,144.28/x
  3. Step 3: Cross multiply
    2,028.48x = 2,799.28 × 1,144.28
  4. Step 4: Simplify right side
    2,028.48x = 3,203,160.12
  5. Step 5: Solve for x
    x = 3,203,160.12/2,028.48
  6. Step 6: Final answer
    x = 1,579.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.