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Finding the Fourth Proportional to 2,954.00, 4,076.62 and 1,627.80

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Solution

The fourth proportional to 2,954.00, 4,076.62 and 1,627.80 is: 2,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.00 : 4,076.62 = 1,627.80 : x
  2. Step 2: Convert to fraction form
    2,954.00/4,076.62 = 1,627.80/x
  3. Step 3: Cross multiply
    2,954.00x = 4,076.62 × 1,627.80
  4. Step 4: Simplify right side
    2,954.00x = 6,635,917.97
  5. Step 5: Solve for x
    x = 6,635,917.97/2,954.00
  6. Step 6: Final answer
    x = 2,246.42

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Why These Related Problems?

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