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Finding the Fourth Proportional to 2,076.94, 3,111.41 and 1,635.86

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Solution

The fourth proportional to 2,076.94, 3,111.41 and 1,635.86 is: 2,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.94 : 3,111.41 = 1,635.86 : x
  2. Step 2: Convert to fraction form
    2,076.94/3,111.41 = 1,635.86/x
  3. Step 3: Cross multiply
    2,076.94x = 3,111.41 × 1,635.86
  4. Step 4: Simplify right side
    2,076.94x = 5,089,813.56
  5. Step 5: Solve for x
    x = 5,089,813.56/2,076.94
  6. Step 6: Final answer
    x = 2,450.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.