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Finding the Fourth Proportional to 2,028.08, 3,042.57 and 641.49

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Solution

The fourth proportional to 2,028.08, 3,042.57 and 641.49 is: 962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.08 : 3,042.57 = 641.49 : x
  2. Step 2: Convert to fraction form
    2,028.08/3,042.57 = 641.49/x
  3. Step 3: Cross multiply
    2,028.08x = 3,042.57 × 641.49
  4. Step 4: Simplify right side
    2,028.08x = 1,951,778.23
  5. Step 5: Solve for x
    x = 1,951,778.23/2,028.08
  6. Step 6: Final answer
    x = 962.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.