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Finding the Fourth Proportional to 2,003.11, 3,004.86 and 704.27

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Solution

The fourth proportional to 2,003.11, 3,004.86 and 704.27 is: 1,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.11 : 3,004.86 = 704.27 : x
  2. Step 2: Convert to fraction form
    2,003.11/3,004.86 = 704.27/x
  3. Step 3: Cross multiply
    2,003.11x = 3,004.86 × 704.27
  4. Step 4: Simplify right side
    2,003.11x = 2,116,232.75
  5. Step 5: Solve for x
    x = 2,116,232.75/2,003.11
  6. Step 6: Final answer
    x = 1,056.47

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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.