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Finding the Fourth Proportional to 2,028.29, 3,042.44 and 874.04

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Solution

The fourth proportional to 2,028.29, 3,042.44 and 874.04 is: 1,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.29 : 3,042.44 = 874.04 : x
  2. Step 2: Convert to fraction form
    2,028.29/3,042.44 = 874.04/x
  3. Step 3: Cross multiply
    2,028.29x = 3,042.44 × 874.04
  4. Step 4: Simplify right side
    2,028.29x = 2,659,224.05
  5. Step 5: Solve for x
    x = 2,659,224.05/2,028.29
  6. Step 6: Final answer
    x = 1,311.07

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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.