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Finding the Fourth Proportional to 3,218.55, 4,827.77 and 1,027.26

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Solution

The fourth proportional to 3,218.55, 4,827.77 and 1,027.26 is: 1,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.55 : 4,827.77 = 1,027.26 : x
  2. Step 2: Convert to fraction form
    3,218.55/4,827.77 = 1,027.26/x
  3. Step 3: Cross multiply
    3,218.55x = 4,827.77 × 1,027.26
  4. Step 4: Simplify right side
    3,218.55x = 4,959,373.73
  5. Step 5: Solve for x
    x = 4,959,373.73/3,218.55
  6. Step 6: Final answer
    x = 1,540.87

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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.