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Finding the Fourth Proportional to 2,155.24, 3,231.26 and 855.72

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Solution

The fourth proportional to 2,155.24, 3,231.26 and 855.72 is: 1,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.24 : 3,231.26 = 855.72 : x
  2. Step 2: Convert to fraction form
    2,155.24/3,231.26 = 855.72/x
  3. Step 3: Cross multiply
    2,155.24x = 3,231.26 × 855.72
  4. Step 4: Simplify right side
    2,155.24x = 2,765,053.81
  5. Step 5: Solve for x
    x = 2,765,053.81/2,155.24
  6. Step 6: Final answer
    x = 1,282.94

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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.