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Finding the Fourth Proportional to 2,896.62, 3,997.03 and 1,777.60

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Solution

The fourth proportional to 2,896.62, 3,997.03 and 1,777.60 is: 2,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.62 : 3,997.03 = 1,777.60 : x
  2. Step 2: Convert to fraction form
    2,896.62/3,997.03 = 1,777.60/x
  3. Step 3: Cross multiply
    2,896.62x = 3,997.03 × 1,777.60
  4. Step 4: Simplify right side
    2,896.62x = 7,105,127.75
  5. Step 5: Solve for x
    x = 7,105,127.75/2,896.62
  6. Step 6: Final answer
    x = 2,452.91

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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.