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Finding the Fourth Proportional to 2,882.98, 4,323.25 and 1,033.75

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Solution

The fourth proportional to 2,882.98, 4,323.25 and 1,033.75 is: 1,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.98 : 4,323.25 = 1,033.75 : x
  2. Step 2: Convert to fraction form
    2,882.98/4,323.25 = 1,033.75/x
  3. Step 3: Cross multiply
    2,882.98x = 4,323.25 × 1,033.75
  4. Step 4: Simplify right side
    2,882.98x = 4,469,159.69
  5. Step 5: Solve for x
    x = 4,469,159.69/2,882.98
  6. Step 6: Final answer
    x = 1,550.19

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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.