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Finding the Fourth Proportional to 2,003.64, 3,002.73 and 1,271.91

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Solution

The fourth proportional to 2,003.64, 3,002.73 and 1,271.91 is: 1,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.64 : 3,002.73 = 1,271.91 : x
  2. Step 2: Convert to fraction form
    2,003.64/3,002.73 = 1,271.91/x
  3. Step 3: Cross multiply
    2,003.64x = 3,002.73 × 1,271.91
  4. Step 4: Simplify right side
    2,003.64x = 3,819,202.31
  5. Step 5: Solve for x
    x = 3,819,202.31/2,003.64
  6. Step 6: Final answer
    x = 1,906.13

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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.