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Finding the Fourth Proportional to 2,704.94, 3,732.83 and 1,462.94

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Solution

The fourth proportional to 2,704.94, 3,732.83 and 1,462.94 is: 2,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.94 : 3,732.83 = 1,462.94 : x
  2. Step 2: Convert to fraction form
    2,704.94/3,732.83 = 1,462.94/x
  3. Step 3: Cross multiply
    2,704.94x = 3,732.83 × 1,462.94
  4. Step 4: Simplify right side
    2,704.94x = 5,460,906.32
  5. Step 5: Solve for x
    x = 5,460,906.32/2,704.94
  6. Step 6: Final answer
    x = 2,018.86

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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.