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Finding the Fourth Proportional to 2,028.06, 3,042.36 and 730.44

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Solution

The fourth proportional to 2,028.06, 3,042.36 and 730.44 is: 1,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.06 : 3,042.36 = 730.44 : x
  2. Step 2: Convert to fraction form
    2,028.06/3,042.36 = 730.44/x
  3. Step 3: Cross multiply
    2,028.06x = 3,042.36 × 730.44
  4. Step 4: Simplify right side
    2,028.06x = 2,222,261.44
  5. Step 5: Solve for x
    x = 2,222,261.44/2,028.06
  6. Step 6: Final answer
    x = 1,095.76

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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.