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Finding the Fourth Proportional to 2,033.27, 3,049.73 and 646.64

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Solution

The fourth proportional to 2,033.27, 3,049.73 and 646.64 is: 969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.27 : 3,049.73 = 646.64 : x
  2. Step 2: Convert to fraction form
    2,033.27/3,049.73 = 646.64/x
  3. Step 3: Cross multiply
    2,033.27x = 3,049.73 × 646.64
  4. Step 4: Simplify right side
    2,033.27x = 1,972,077.41
  5. Step 5: Solve for x
    x = 1,972,077.41/2,033.27
  6. Step 6: Final answer
    x = 969.90

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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.