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Finding the Fourth Proportional to 2,003.67, 3,005.60 and 908.15

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Solution

The fourth proportional to 2,003.67, 3,005.60 and 908.15 is: 1,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.67 : 3,005.60 = 908.15 : x
  2. Step 2: Convert to fraction form
    2,003.67/3,005.60 = 908.15/x
  3. Step 3: Cross multiply
    2,003.67x = 3,005.60 × 908.15
  4. Step 4: Simplify right side
    2,003.67x = 2,729,516.07
  5. Step 5: Solve for x
    x = 2,729,516.07/2,003.67
  6. Step 6: Final answer
    x = 1,362.26

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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.