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Finding the Fourth Proportional to 1,967.44, 2,714.96 and 1,083.20

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Solution

The fourth proportional to 1,967.44, 2,714.96 and 1,083.20 is: 1,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.44 : 2,714.96 = 1,083.20 : x
  2. Step 2: Convert to fraction form
    1,967.44/2,714.96 = 1,083.20/x
  3. Step 3: Cross multiply
    1,967.44x = 2,714.96 × 1,083.20
  4. Step 4: Simplify right side
    1,967.44x = 2,940,844.67
  5. Step 5: Solve for x
    x = 2,940,844.67/1,967.44
  6. Step 6: Final answer
    x = 1,494.76

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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.