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Finding the Fourth Proportional to 2,896.73, 3,997.50 and 1,570.44

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Solution

The fourth proportional to 2,896.73, 3,997.50 and 1,570.44 is: 2,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.73 : 3,997.50 = 1,570.44 : x
  2. Step 2: Convert to fraction form
    2,896.73/3,997.50 = 1,570.44/x
  3. Step 3: Cross multiply
    2,896.73x = 3,997.50 × 1,570.44
  4. Step 4: Simplify right side
    2,896.73x = 6,277,818.91
  5. Step 5: Solve for x
    x = 6,277,818.91/2,896.73
  6. Step 6: Final answer
    x = 2,167.21

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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.