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Finding the Fourth Proportional to 3,454.26, 4,767.17 and 1,962.51

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Solution

The fourth proportional to 3,454.26, 4,767.17 and 1,962.51 is: 2,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.26 : 4,767.17 = 1,962.51 : x
  2. Step 2: Convert to fraction form
    3,454.26/4,767.17 = 1,962.51/x
  3. Step 3: Cross multiply
    3,454.26x = 4,767.17 × 1,962.51
  4. Step 4: Simplify right side
    3,454.26x = 9,355,608.98
  5. Step 5: Solve for x
    x = 9,355,608.98/3,454.26
  6. Step 6: Final answer
    x = 2,708.43

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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.