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Finding the Fourth Proportional to 2,296.50, 3,162.21 and 1,964.19

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Solution

The fourth proportional to 2,296.50, 3,162.21 and 1,964.19 is: 2,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.50 : 3,162.21 = 1,964.19 : x
  2. Step 2: Convert to fraction form
    2,296.50/3,162.21 = 1,964.19/x
  3. Step 3: Cross multiply
    2,296.50x = 3,162.21 × 1,964.19
  4. Step 4: Simplify right side
    2,296.50x = 6,211,181.26
  5. Step 5: Solve for x
    x = 6,211,181.26/2,296.50
  6. Step 6: Final answer
    x = 2,704.63

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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.