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Finding the Fourth Proportional to 2,745.66, 4,137.23 and 2,269.38

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Solution

The fourth proportional to 2,745.66, 4,137.23 and 2,269.38 is: 3,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.66 : 4,137.23 = 2,269.38 : x
  2. Step 2: Convert to fraction form
    2,745.66/4,137.23 = 2,269.38/x
  3. Step 3: Cross multiply
    2,745.66x = 4,137.23 × 2,269.38
  4. Step 4: Simplify right side
    2,745.66x = 9,388,935.67
  5. Step 5: Solve for x
    x = 9,388,935.67/2,745.66
  6. Step 6: Final answer
    x = 3,419.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.