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Finding the Fourth Proportional to 2,181.56, 3,269.70 and 864.09

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Solution

The fourth proportional to 2,181.56, 3,269.70 and 864.09 is: 1,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.56 : 3,269.70 = 864.09 : x
  2. Step 2: Convert to fraction form
    2,181.56/3,269.70 = 864.09/x
  3. Step 3: Cross multiply
    2,181.56x = 3,269.70 × 864.09
  4. Step 4: Simplify right side
    2,181.56x = 2,825,315.07
  5. Step 5: Solve for x
    x = 2,825,315.07/2,181.56
  6. Step 6: Final answer
    x = 1,295.09

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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.