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Finding the Fourth Proportional to 2,954.01, 4,076.72 and 1,627.71

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Solution

The fourth proportional to 2,954.01, 4,076.72 and 1,627.71 is: 2,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.01 : 4,076.72 = 1,627.71 : x
  2. Step 2: Convert to fraction form
    2,954.01/4,076.72 = 1,627.71/x
  3. Step 3: Cross multiply
    2,954.01x = 4,076.72 × 1,627.71
  4. Step 4: Simplify right side
    2,954.01x = 6,635,709.77
  5. Step 5: Solve for x
    x = 6,635,709.77/2,954.01
  6. Step 6: Final answer
    x = 2,246.34

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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.