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Finding the Fourth Proportional to 2,036, 3,054.04 and 668

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Solution

The fourth proportional to 2,036, 3,054.04 and 668 is: 1,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 3,054.04 = 668 : x
  2. Step 2: Convert to fraction form
    2,036/3,054.04 = 668/x
  3. Step 3: Cross multiply
    2,036x = 3,054.04 × 668
  4. Step 4: Simplify right side
    2,036x = 2,040,098.72
  5. Step 5: Solve for x
    x = 2,040,098.72/2,036
  6. Step 6: Final answer
    x = 1,002.01

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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.