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Finding the Fourth Proportional to 2,896.75, 3,997.59 and 1,762.04

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Solution

The fourth proportional to 2,896.75, 3,997.59 and 1,762.04 is: 2,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.75 : 3,997.59 = 1,762.04 : x
  2. Step 2: Convert to fraction form
    2,896.75/3,997.59 = 1,762.04/x
  3. Step 3: Cross multiply
    2,896.75x = 3,997.59 × 1,762.04
  4. Step 4: Simplify right side
    2,896.75x = 7,043,913.48
  5. Step 5: Solve for x
    x = 7,043,913.48/2,896.75
  6. Step 6: Final answer
    x = 2,431.66

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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.