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Finding the Fourth Proportional to 1,997.75, 2,757.25 and 1,252.35

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Solution

The fourth proportional to 1,997.75, 2,757.25 and 1,252.35 is: 1,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.75 : 2,757.25 = 1,252.35 : x
  2. Step 2: Convert to fraction form
    1,997.75/2,757.25 = 1,252.35/x
  3. Step 3: Cross multiply
    1,997.75x = 2,757.25 × 1,252.35
  4. Step 4: Simplify right side
    1,997.75x = 3,453,038.91
  5. Step 5: Solve for x
    x = 3,453,038.91/1,997.75
  6. Step 6: Final answer
    x = 1,728.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.