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Finding the Fourth Proportional to 2,954.22, 4,076.84 and 1,627.90

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Solution

The fourth proportional to 2,954.22, 4,076.84 and 1,627.90 is: 2,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.22 : 4,076.84 = 1,627.90 : x
  2. Step 2: Convert to fraction form
    2,954.22/4,076.84 = 1,627.90/x
  3. Step 3: Cross multiply
    2,954.22x = 4,076.84 × 1,627.90
  4. Step 4: Simplify right side
    2,954.22x = 6,636,659.31
  5. Step 5: Solve for x
    x = 6,636,659.31/2,954.22
  6. Step 6: Final answer
    x = 2,246.50

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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.