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Finding the Fourth Proportional to 2,028.90, 3,042.27 and 959.21

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Solution

The fourth proportional to 2,028.90, 3,042.27 and 959.21 is: 1,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.90 : 3,042.27 = 959.21 : x
  2. Step 2: Convert to fraction form
    2,028.90/3,042.27 = 959.21/x
  3. Step 3: Cross multiply
    2,028.90x = 3,042.27 × 959.21
  4. Step 4: Simplify right side
    2,028.90x = 2,918,168.20
  5. Step 5: Solve for x
    x = 2,918,168.20/2,028.90
  6. Step 6: Final answer
    x = 1,438.30

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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.