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Finding the Fourth Proportional to 2,737.44, 4,107.51 and 1,697.18

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Solution

The fourth proportional to 2,737.44, 4,107.51 and 1,697.18 is: 2,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.44 : 4,107.51 = 1,697.18 : x
  2. Step 2: Convert to fraction form
    2,737.44/4,107.51 = 1,697.18/x
  3. Step 3: Cross multiply
    2,737.44x = 4,107.51 × 1,697.18
  4. Step 4: Simplify right side
    2,737.44x = 6,971,163.28
  5. Step 5: Solve for x
    x = 6,971,163.28/2,737.44
  6. Step 6: Final answer
    x = 2,546.60

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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.