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Finding the Fourth Proportional to 2,027.83, 3,042.20 and 641.24

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Solution

The fourth proportional to 2,027.83, 3,042.20 and 641.24 is: 962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.83 : 3,042.20 = 641.24 : x
  2. Step 2: Convert to fraction form
    2,027.83/3,042.20 = 641.24/x
  3. Step 3: Cross multiply
    2,027.83x = 3,042.20 × 641.24
  4. Step 4: Simplify right side
    2,027.83x = 1,950,784.73
  5. Step 5: Solve for x
    x = 1,950,784.73/2,027.83
  6. Step 6: Final answer
    x = 962.01

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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.