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Finding the Fourth Proportional to 2,033.27, 3,050.13 and 646.73

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Solution

The fourth proportional to 2,033.27, 3,050.13 and 646.73 is: 970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.27 : 3,050.13 = 646.73 : x
  2. Step 2: Convert to fraction form
    2,033.27/3,050.13 = 646.73/x
  3. Step 3: Cross multiply
    2,033.27x = 3,050.13 × 646.73
  4. Step 4: Simplify right side
    2,033.27x = 1,972,610.57
  5. Step 5: Solve for x
    x = 1,972,610.57/2,033.27
  6. Step 6: Final answer
    x = 970.17

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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.