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Finding the Fourth Proportional to 2,046.30, 3,069.81 and 1,072.68

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Solution

The fourth proportional to 2,046.30, 3,069.81 and 1,072.68 is: 1,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.30 : 3,069.81 = 1,072.68 : x
  2. Step 2: Convert to fraction form
    2,046.30/3,069.81 = 1,072.68/x
  3. Step 3: Cross multiply
    2,046.30x = 3,069.81 × 1,072.68
  4. Step 4: Simplify right side
    2,046.30x = 3,292,923.79
  5. Step 5: Solve for x
    x = 3,292,923.79/2,046.30
  6. Step 6: Final answer
    x = 1,609.21

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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.