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Finding the Fourth Proportional to 2,033.69, 3,048.73 and 878.81

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Solution

The fourth proportional to 2,033.69, 3,048.73 and 878.81 is: 1,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.69 : 3,048.73 = 878.81 : x
  2. Step 2: Convert to fraction form
    2,033.69/3,048.73 = 878.81/x
  3. Step 3: Cross multiply
    2,033.69x = 3,048.73 × 878.81
  4. Step 4: Simplify right side
    2,033.69x = 2,679,236.97
  5. Step 5: Solve for x
    x = 2,679,236.97/2,033.69
  6. Step 6: Final answer
    x = 1,317.43

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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.