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Finding the Fourth Proportional to 2,954.20, 4,076.06 and 1,905

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Solution

The fourth proportional to 2,954.20, 4,076.06 and 1,905 is: 2,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.20 : 4,076.06 = 1,905 : x
  2. Step 2: Convert to fraction form
    2,954.20/4,076.06 = 1,905/x
  3. Step 3: Cross multiply
    2,954.20x = 4,076.06 × 1,905
  4. Step 4: Simplify right side
    2,954.20x = 7,764,894.30
  5. Step 5: Solve for x
    x = 7,764,894.30/2,954.20
  6. Step 6: Final answer
    x = 2,628.43

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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.