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Finding the Fourth Proportional to 2,027.96, 3,041.67 and 641.43

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Solution

The fourth proportional to 2,027.96, 3,041.67 and 641.43 is: 962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.96 : 3,041.67 = 641.43 : x
  2. Step 2: Convert to fraction form
    2,027.96/3,041.67 = 641.43/x
  3. Step 3: Cross multiply
    2,027.96x = 3,041.67 × 641.43
  4. Step 4: Simplify right side
    2,027.96x = 1,951,018.39
  5. Step 5: Solve for x
    x = 1,951,018.39/2,027.96
  6. Step 6: Final answer
    x = 962.06

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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.