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Finding the Fourth Proportional to 2,745.84, 4,137.32 and 2,269.56

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Solution

The fourth proportional to 2,745.84, 4,137.32 and 2,269.56 is: 3,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.84 : 4,137.32 = 2,269.56 : x
  2. Step 2: Convert to fraction form
    2,745.84/4,137.32 = 2,269.56/x
  3. Step 3: Cross multiply
    2,745.84x = 4,137.32 × 2,269.56
  4. Step 4: Simplify right side
    2,745.84x = 9,389,895.98
  5. Step 5: Solve for x
    x = 9,389,895.98/2,745.84
  6. Step 6: Final answer
    x = 3,419.68

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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.