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Finding the Fourth Proportional to 3,182.27, 4,772.85 and 842.30

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Solution

The fourth proportional to 3,182.27, 4,772.85 and 842.30 is: 1,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.27 : 4,772.85 = 842.30 : x
  2. Step 2: Convert to fraction form
    3,182.27/4,772.85 = 842.30/x
  3. Step 3: Cross multiply
    3,182.27x = 4,772.85 × 842.30
  4. Step 4: Simplify right side
    3,182.27x = 4,020,147.69
  5. Step 5: Solve for x
    x = 4,020,147.69/3,182.27
  6. Step 6: Final answer
    x = 1,263.30

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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.