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Finding the Fourth Proportional to 2,199.43, 3,298.56 and 1,028.29

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Solution

The fourth proportional to 2,199.43, 3,298.56 and 1,028.29 is: 1,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.43 : 3,298.56 = 1,028.29 : x
  2. Step 2: Convert to fraction form
    2,199.43/3,298.56 = 1,028.29/x
  3. Step 3: Cross multiply
    2,199.43x = 3,298.56 × 1,028.29
  4. Step 4: Simplify right side
    2,199.43x = 3,391,879.37
  5. Step 5: Solve for x
    x = 3,391,879.37/2,199.43
  6. Step 6: Final answer
    x = 1,542.16

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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.