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Finding the Fourth Proportional to 2,008.44, 3,009.30 and 1,314.24

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Solution

The fourth proportional to 2,008.44, 3,009.30 and 1,314.24 is: 1,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.44 : 3,009.30 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    2,008.44/3,009.30 = 1,314.24/x
  3. Step 3: Cross multiply
    2,008.44x = 3,009.30 × 1,314.24
  4. Step 4: Simplify right side
    2,008.44x = 3,954,942.43
  5. Step 5: Solve for x
    x = 3,954,942.43/2,008.44
  6. Step 6: Final answer
    x = 1,969.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.