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Finding the Fourth Proportional to 1,997.24, 2,756.42 and 1,201

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Solution

The fourth proportional to 1,997.24, 2,756.42 and 1,201 is: 1,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.24 : 2,756.42 = 1,201 : x
  2. Step 2: Convert to fraction form
    1,997.24/2,756.42 = 1,201/x
  3. Step 3: Cross multiply
    1,997.24x = 2,756.42 × 1,201
  4. Step 4: Simplify right side
    1,997.24x = 3,310,460.42
  5. Step 5: Solve for x
    x = 3,310,460.42/1,997.24
  6. Step 6: Final answer
    x = 1,657.52

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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.