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Finding the Fourth Proportional to 1,967.23, 2,714.77 and 1,083.09

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Solution

The fourth proportional to 1,967.23, 2,714.77 and 1,083.09 is: 1,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.23 : 2,714.77 = 1,083.09 : x
  2. Step 2: Convert to fraction form
    1,967.23/2,714.77 = 1,083.09/x
  3. Step 3: Cross multiply
    1,967.23x = 2,714.77 × 1,083.09
  4. Step 4: Simplify right side
    1,967.23x = 2,940,340.24
  5. Step 5: Solve for x
    x = 2,940,340.24/1,967.23
  6. Step 6: Final answer
    x = 1,494.66

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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.