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Finding the Fourth Proportional to 2,027.23, 3,041.43 and 640.75

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Solution

The fourth proportional to 2,027.23, 3,041.43 and 640.75 is: 961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.23 : 3,041.43 = 640.75 : x
  2. Step 2: Convert to fraction form
    2,027.23/3,041.43 = 640.75/x
  3. Step 3: Cross multiply
    2,027.23x = 3,041.43 × 640.75
  4. Step 4: Simplify right side
    2,027.23x = 1,948,796.27
  5. Step 5: Solve for x
    x = 1,948,796.27/2,027.23
  6. Step 6: Final answer
    x = 961.31

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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.