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Finding the Fourth Proportional to 2,155.73, 3,234.27 and 906.98

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Solution

The fourth proportional to 2,155.73, 3,234.27 and 906.98 is: 1,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.73 : 3,234.27 = 906.98 : x
  2. Step 2: Convert to fraction form
    2,155.73/3,234.27 = 906.98/x
  3. Step 3: Cross multiply
    2,155.73x = 3,234.27 × 906.98
  4. Step 4: Simplify right side
    2,155.73x = 2,933,418.20
  5. Step 5: Solve for x
    x = 2,933,418.20/2,155.73
  6. Step 6: Final answer
    x = 1,360.75

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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.