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Finding the Fourth Proportional to 2,298.96, 3,449.79 and 838.23

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Solution

The fourth proportional to 2,298.96, 3,449.79 and 838.23 is: 1,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,449.79 = 838.23 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,449.79 = 838.23/x
  3. Step 3: Cross multiply
    2,298.96x = 3,449.79 × 838.23
  4. Step 4: Simplify right side
    2,298.96x = 2,891,704.53
  5. Step 5: Solve for x
    x = 2,891,704.53/2,298.96
  6. Step 6: Final answer
    x = 1,257.83

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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.