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Finding the Fourth Proportional to 2,467.80, 3,398.22 and 1,767.96

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Solution

The fourth proportional to 2,467.80, 3,398.22 and 1,767.96 is: 2,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.80 : 3,398.22 = 1,767.96 : x
  2. Step 2: Convert to fraction form
    2,467.80/3,398.22 = 1,767.96/x
  3. Step 3: Cross multiply
    2,467.80x = 3,398.22 × 1,767.96
  4. Step 4: Simplify right side
    2,467.80x = 6,007,917.03
  5. Step 5: Solve for x
    x = 6,007,917.03/2,467.80
  6. Step 6: Final answer
    x = 2,434.52

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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.