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Finding the Fourth Proportional to 1,967.42, 2,714.94 and 1,083.05

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Solution

The fourth proportional to 1,967.42, 2,714.94 and 1,083.05 is: 1,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.42 : 2,714.94 = 1,083.05 : x
  2. Step 2: Convert to fraction form
    1,967.42/2,714.94 = 1,083.05/x
  3. Step 3: Cross multiply
    1,967.42x = 2,714.94 × 1,083.05
  4. Step 4: Simplify right side
    1,967.42x = 2,940,427.64
  5. Step 5: Solve for x
    x = 2,940,427.64/1,967.42
  6. Step 6: Final answer
    x = 1,494.56

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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.