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Finding the Fourth Proportional to 2,184.52, 3,270.28 and 2,181.64

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Solution

The fourth proportional to 2,184.52, 3,270.28 and 2,181.64 is: 3,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.52 : 3,270.28 = 2,181.64 : x
  2. Step 2: Convert to fraction form
    2,184.52/3,270.28 = 2,181.64/x
  3. Step 3: Cross multiply
    2,184.52x = 3,270.28 × 2,181.64
  4. Step 4: Simplify right side
    2,184.52x = 7,134,573.66
  5. Step 5: Solve for x
    x = 7,134,573.66/2,184.52
  6. Step 6: Final answer
    x = 3,265.97

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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.