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Finding the Fourth Proportional to 2,745.67, 3,786.42 and 1,802.28

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Solution

The fourth proportional to 2,745.67, 3,786.42 and 1,802.28 is: 2,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.67 : 3,786.42 = 1,802.28 : x
  2. Step 2: Convert to fraction form
    2,745.67/3,786.42 = 1,802.28/x
  3. Step 3: Cross multiply
    2,745.67x = 3,786.42 × 1,802.28
  4. Step 4: Simplify right side
    2,745.67x = 6,824,170.11
  5. Step 5: Solve for x
    x = 6,824,170.11/2,745.67
  6. Step 6: Final answer
    x = 2,485.43

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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.