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Finding the Fourth Proportional to 1,967.24, 2,714.87 and 1,083.01

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Solution

The fourth proportional to 1,967.24, 2,714.87 and 1,083.01 is: 1,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.24 : 2,714.87 = 1,083.01 : x
  2. Step 2: Convert to fraction form
    1,967.24/2,714.87 = 1,083.01/x
  3. Step 3: Cross multiply
    1,967.24x = 2,714.87 × 1,083.01
  4. Step 4: Simplify right side
    1,967.24x = 2,940,231.36
  5. Step 5: Solve for x
    x = 2,940,231.36/1,967.24
  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.