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Finding the Fourth Proportional to 2,205.26, 3,308.51 and 1,963.48

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Solution

The fourth proportional to 2,205.26, 3,308.51 and 1,963.48 is: 2,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.26 : 3,308.51 = 1,963.48 : x
  2. Step 2: Convert to fraction form
    2,205.26/3,308.51 = 1,963.48/x
  3. Step 3: Cross multiply
    2,205.26x = 3,308.51 × 1,963.48
  4. Step 4: Simplify right side
    2,205.26x = 6,496,193.21
  5. Step 5: Solve for x
    x = 6,496,193.21/2,205.26
  6. Step 6: Final answer
    x = 2,945.77

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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.