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Finding the Fourth Proportional to 2,028.07, 3,042.25 and 711.67

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Solution

The fourth proportional to 2,028.07, 3,042.25 and 711.67 is: 1,067.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.07 : 3,042.25 = 711.67 : x
  2. Step 2: Convert to fraction form
    2,028.07/3,042.25 = 711.67/x
  3. Step 3: Cross multiply
    2,028.07x = 3,042.25 × 711.67
  4. Step 4: Simplify right side
    2,028.07x = 2,165,078.06
  5. Step 5: Solve for x
    x = 2,165,078.06/2,028.07
  6. Step 6: Final answer
    x = 1,067.56

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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.