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Finding the Fourth Proportional to 2,181.87, 3,270.68 and 865.19

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Solution

The fourth proportional to 2,181.87, 3,270.68 and 865.19 is: 1,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.87 : 3,270.68 = 865.19 : x
  2. Step 2: Convert to fraction form
    2,181.87/3,270.68 = 865.19/x
  3. Step 3: Cross multiply
    2,181.87x = 3,270.68 × 865.19
  4. Step 4: Simplify right side
    2,181.87x = 2,829,759.63
  5. Step 5: Solve for x
    x = 2,829,759.63/2,181.87
  6. Step 6: Final answer
    x = 1,296.94

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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.