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Finding the Fourth Proportional to 2,027.29, 3,041.45 and 566.44

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Solution

The fourth proportional to 2,027.29, 3,041.45 and 566.44 is: 849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.29 : 3,041.45 = 566.44 : x
  2. Step 2: Convert to fraction form
    2,027.29/3,041.45 = 566.44/x
  3. Step 3: Cross multiply
    2,027.29x = 3,041.45 × 566.44
  4. Step 4: Simplify right side
    2,027.29x = 1,722,798.94
  5. Step 5: Solve for x
    x = 1,722,798.94/2,027.29
  6. Step 6: Final answer
    x = 849.80

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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.