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Finding the Fourth Proportional to 2,896.24, 3,999.64 and 2,474.12

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Solution

The fourth proportional to 2,896.24, 3,999.64 and 2,474.12 is: 3,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.24 : 3,999.64 = 2,474.12 : x
  2. Step 2: Convert to fraction form
    2,896.24/3,999.64 = 2,474.12/x
  3. Step 3: Cross multiply
    2,896.24x = 3,999.64 × 2,474.12
  4. Step 4: Simplify right side
    2,896.24x = 9,895,589.32
  5. Step 5: Solve for x
    x = 9,895,589.32/2,896.24
  6. Step 6: Final answer
    x = 3,416.70

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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.