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Finding the Fourth Proportional to 2,764.68, 3,813.30 and 1,834.44

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Solution

The fourth proportional to 2,764.68, 3,813.30 and 1,834.44 is: 2,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.68 : 3,813.30 = 1,834.44 : x
  2. Step 2: Convert to fraction form
    2,764.68/3,813.30 = 1,834.44/x
  3. Step 3: Cross multiply
    2,764.68x = 3,813.30 × 1,834.44
  4. Step 4: Simplify right side
    2,764.68x = 6,995,270.05
  5. Step 5: Solve for x
    x = 6,995,270.05/2,764.68
  6. Step 6: Final answer
    x = 2,530.23

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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.