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Finding the Fourth Proportional to 2,008.44, 3,016.74 and 1,544.60

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Solution

The fourth proportional to 2,008.44, 3,016.74 and 1,544.60 is: 2,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.44 : 3,016.74 = 1,544.60 : x
  2. Step 2: Convert to fraction form
    2,008.44/3,016.74 = 1,544.60/x
  3. Step 3: Cross multiply
    2,008.44x = 3,016.74 × 1,544.60
  4. Step 4: Simplify right side
    2,008.44x = 4,659,656.60
  5. Step 5: Solve for x
    x = 4,659,656.60/2,008.44
  6. Step 6: Final answer
    x = 2,320.04

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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.