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Finding the Fourth Proportional to 3,027.23, 4,540.29 and 835.41

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Solution

The fourth proportional to 3,027.23, 4,540.29 and 835.41 is: 1,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.23 : 4,540.29 = 835.41 : x
  2. Step 2: Convert to fraction form
    3,027.23/4,540.29 = 835.41/x
  3. Step 3: Cross multiply
    3,027.23x = 4,540.29 × 835.41
  4. Step 4: Simplify right side
    3,027.23x = 3,793,003.67
  5. Step 5: Solve for x
    x = 3,793,003.67/3,027.23
  6. Step 6: Final answer
    x = 1,252.96

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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.