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Finding the Fourth Proportional to 2,896.42, 3,997.06 and 1,570.13

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Solution

The fourth proportional to 2,896.42, 3,997.06 and 1,570.13 is: 2,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.42 : 3,997.06 = 1,570.13 : x
  2. Step 2: Convert to fraction form
    2,896.42/3,997.06 = 1,570.13/x
  3. Step 3: Cross multiply
    2,896.42x = 3,997.06 × 1,570.13
  4. Step 4: Simplify right side
    2,896.42x = 6,275,879.91
  5. Step 5: Solve for x
    x = 6,275,879.91/2,896.42
  6. Step 6: Final answer
    x = 2,166.77

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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.