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Finding the Fourth Proportional to 2,296.20, 3,444.30 and 997.68

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Solution

The fourth proportional to 2,296.20, 3,444.30 and 997.68 is: 1,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.20 : 3,444.30 = 997.68 : x
  2. Step 2: Convert to fraction form
    2,296.20/3,444.30 = 997.68/x
  3. Step 3: Cross multiply
    2,296.20x = 3,444.30 × 997.68
  4. Step 4: Simplify right side
    2,296.20x = 3,436,309.22
  5. Step 5: Solve for x
    x = 3,436,309.22/2,296.20
  6. Step 6: Final answer
    x = 1,496.52

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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.