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Finding the Fourth Proportional to 2,181.52, 3,270.19 and 1,399.33

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Solution

The fourth proportional to 2,181.52, 3,270.19 and 1,399.33 is: 2,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.52 : 3,270.19 = 1,399.33 : x
  2. Step 2: Convert to fraction form
    2,181.52/3,270.19 = 1,399.33/x
  3. Step 3: Cross multiply
    2,181.52x = 3,270.19 × 1,399.33
  4. Step 4: Simplify right side
    2,181.52x = 4,576,074.97
  5. Step 5: Solve for x
    x = 4,576,074.97/2,181.52
  6. Step 6: Final answer
    x = 2,097.65

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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.