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Finding the Fourth Proportional to 2,474.97, 3,415.56 and 1,636.41

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Solution

The fourth proportional to 2,474.97, 3,415.56 and 1,636.41 is: 2,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.97 : 3,415.56 = 1,636.41 : x
  2. Step 2: Convert to fraction form
    2,474.97/3,415.56 = 1,636.41/x
  3. Step 3: Cross multiply
    2,474.97x = 3,415.56 × 1,636.41
  4. Step 4: Simplify right side
    2,474.97x = 5,589,256.54
  5. Step 5: Solve for x
    x = 5,589,256.54/2,474.97
  6. Step 6: Final answer
    x = 2,258.31

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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.