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Finding the Fourth Proportional to 2,028.19, 3,042.75 and 641.52

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Solution

The fourth proportional to 2,028.19, 3,042.75 and 641.52 is: 962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.19 : 3,042.75 = 641.52 : x
  2. Step 2: Convert to fraction form
    2,028.19/3,042.75 = 641.52/x
  3. Step 3: Cross multiply
    2,028.19x = 3,042.75 × 641.52
  4. Step 4: Simplify right side
    2,028.19x = 1,951,984.98
  5. Step 5: Solve for x
    x = 1,951,984.98/2,028.19
  6. Step 6: Final answer
    x = 962.43

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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.