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Finding the Fourth Proportional to 2,896.49, 3,997.16 and 1,570.24

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Solution

The fourth proportional to 2,896.49, 3,997.16 and 1,570.24 is: 2,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.49 : 3,997.16 = 1,570.24 : x
  2. Step 2: Convert to fraction form
    2,896.49/3,997.16 = 1,570.24/x
  3. Step 3: Cross multiply
    2,896.49x = 3,997.16 × 1,570.24
  4. Step 4: Simplify right side
    2,896.49x = 6,276,472.68
  5. Step 5: Solve for x
    x = 6,276,472.68/2,896.49
  6. Step 6: Final answer
    x = 2,166.92

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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.