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Finding the Fourth Proportional to 2,896.67, 3,997.43 and 1,570.41

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Solution

The fourth proportional to 2,896.67, 3,997.43 and 1,570.41 is: 2,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.67 : 3,997.43 = 1,570.41 : x
  2. Step 2: Convert to fraction form
    2,896.67/3,997.43 = 1,570.41/x
  3. Step 3: Cross multiply
    2,896.67x = 3,997.43 × 1,570.41
  4. Step 4: Simplify right side
    2,896.67x = 6,277,604.05
  5. Step 5: Solve for x
    x = 6,277,604.05/2,896.67
  6. Step 6: Final answer
    x = 2,167.18

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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.