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Finding the Fourth Proportional to 2,886.25, 3,983.05 and 1,627.33

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Solution

The fourth proportional to 2,886.25, 3,983.05 and 1,627.33 is: 2,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.25 : 3,983.05 = 1,627.33 : x
  2. Step 2: Convert to fraction form
    2,886.25/3,983.05 = 1,627.33/x
  3. Step 3: Cross multiply
    2,886.25x = 3,983.05 × 1,627.33
  4. Step 4: Simplify right side
    2,886.25x = 6,481,736.76
  5. Step 5: Solve for x
    x = 6,481,736.76/2,886.25
  6. Step 6: Final answer
    x = 2,245.73

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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.