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Finding the Fourth Proportional to 2,896.91, 3,997.73 and 1,570.61

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Solution

The fourth proportional to 2,896.91, 3,997.73 and 1,570.61 is: 2,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.91 : 3,997.73 = 1,570.61 : x
  2. Step 2: Convert to fraction form
    2,896.91/3,997.73 = 1,570.61/x
  3. Step 3: Cross multiply
    2,896.91x = 3,997.73 × 1,570.61
  4. Step 4: Simplify right side
    2,896.91x = 6,278,874.72
  5. Step 5: Solve for x
    x = 6,278,874.72/2,896.91
  6. Step 6: Final answer
    x = 2,167.44

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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.