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Finding the Fourth Proportional to 2,757.63, 3,804.94 and 1,578.48

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Solution

The fourth proportional to 2,757.63, 3,804.94 and 1,578.48 is: 2,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.63 : 3,804.94 = 1,578.48 : x
  2. Step 2: Convert to fraction form
    2,757.63/3,804.94 = 1,578.48/x
  3. Step 3: Cross multiply
    2,757.63x = 3,804.94 × 1,578.48
  4. Step 4: Simplify right side
    2,757.63x = 6,006,021.69
  5. Step 5: Solve for x
    x = 6,006,021.69/2,757.63
  6. Step 6: Final answer
    x = 2,177.97

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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.