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Finding the Fourth Proportional to 1,967.27, 2,714.80 and 1,083.06

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Solution

The fourth proportional to 1,967.27, 2,714.80 and 1,083.06 is: 1,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.27 : 2,714.80 = 1,083.06 : x
  2. Step 2: Convert to fraction form
    1,967.27/2,714.80 = 1,083.06/x
  3. Step 3: Cross multiply
    1,967.27x = 2,714.80 × 1,083.06
  4. Step 4: Simplify right side
    1,967.27x = 2,940,291.36
  5. Step 5: Solve for x
    x = 2,940,291.36/1,967.27
  6. Step 6: Final answer
    x = 1,494.60

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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.