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Finding the Fourth Proportional to 2,308.52, 3,181.18 and 1,644.20

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Solution

The fourth proportional to 2,308.52, 3,181.18 and 1,644.20 is: 2,265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.52 : 3,181.18 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    2,308.52/3,181.18 = 1,644.20/x
  3. Step 3: Cross multiply
    2,308.52x = 3,181.18 × 1,644.20
  4. Step 4: Simplify right side
    2,308.52x = 5,230,496.16
  5. Step 5: Solve for x
    x = 5,230,496.16/2,308.52
  6. Step 6: Final answer
    x = 2,265.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.