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Finding the Fourth Proportional to 2,297.68, 3,446.48 and 1,323.12

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Solution

The fourth proportional to 2,297.68, 3,446.48 and 1,323.12 is: 1,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.68 : 3,446.48 = 1,323.12 : x
  2. Step 2: Convert to fraction form
    2,297.68/3,446.48 = 1,323.12/x
  3. Step 3: Cross multiply
    2,297.68x = 3,446.48 × 1,323.12
  4. Step 4: Simplify right side
    2,297.68x = 4,560,106.62
  5. Step 5: Solve for x
    x = 4,560,106.62/2,297.68
  6. Step 6: Final answer
    x = 1,984.66

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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.