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Finding the Fourth Proportional to 2,737.70, 4,107.89 and 1,697.43

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Solution

The fourth proportional to 2,737.70, 4,107.89 and 1,697.43 is: 2,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.70 : 4,107.89 = 1,697.43 : x
  2. Step 2: Convert to fraction form
    2,737.70/4,107.89 = 1,697.43/x
  3. Step 3: Cross multiply
    2,737.70x = 4,107.89 × 1,697.43
  4. Step 4: Simplify right side
    2,737.70x = 6,972,859.04
  5. Step 5: Solve for x
    x = 6,972,859.04/2,737.70
  6. Step 6: Final answer
    x = 2,546.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.