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Finding the Fourth Proportional to 2,469.94, 3,697.72 and 1,297.17

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Solution

The fourth proportional to 2,469.94, 3,697.72 and 1,297.17 is: 1,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.94 : 3,697.72 = 1,297.17 : x
  2. Step 2: Convert to fraction form
    2,469.94/3,697.72 = 1,297.17/x
  3. Step 3: Cross multiply
    2,469.94x = 3,697.72 × 1,297.17
  4. Step 4: Simplify right side
    2,469.94x = 4,796,571.45
  5. Step 5: Solve for x
    x = 4,796,571.45/2,469.94
  6. Step 6: Final answer
    x = 1,941.98

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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.