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Finding the Fourth Proportional to 2,757.57, 3,804.17 and 1,637.87

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Solution

The fourth proportional to 2,757.57, 3,804.17 and 1,637.87 is: 2,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.57 : 3,804.17 = 1,637.87 : x
  2. Step 2: Convert to fraction form
    2,757.57/3,804.17 = 1,637.87/x
  3. Step 3: Cross multiply
    2,757.57x = 3,804.17 × 1,637.87
  4. Step 4: Simplify right side
    2,757.57x = 6,230,716.90
  5. Step 5: Solve for x
    x = 6,230,716.90/2,757.57
  6. Step 6: Final answer
    x = 2,259.50

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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.