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Finding the Fourth Proportional to 2,296.08, 3,447.63 and 2,024.46

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Solution

The fourth proportional to 2,296.08, 3,447.63 and 2,024.46 is: 3,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.08 : 3,447.63 = 2,024.46 : x
  2. Step 2: Convert to fraction form
    2,296.08/3,447.63 = 2,024.46/x
  3. Step 3: Cross multiply
    2,296.08x = 3,447.63 × 2,024.46
  4. Step 4: Simplify right side
    2,296.08x = 6,979,589.03
  5. Step 5: Solve for x
    x = 6,979,589.03/2,296.08
  6. Step 6: Final answer
    x = 3,039.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.