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Finding the Fourth Proportional to 2,763.24, 3,813.54 and 2,063.40

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Solution

The fourth proportional to 2,763.24, 3,813.54 and 2,063.40 is: 2,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.24 : 3,813.54 = 2,063.40 : x
  2. Step 2: Convert to fraction form
    2,763.24/3,813.54 = 2,063.40/x
  3. Step 3: Cross multiply
    2,763.24x = 3,813.54 × 2,063.40
  4. Step 4: Simplify right side
    2,763.24x = 7,868,858.44
  5. Step 5: Solve for x
    x = 7,868,858.44/2,763.24
  6. Step 6: Final answer
    x = 2,847.69

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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.