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Finding the Fourth Proportional to 2,769.94, 3,823.59 and 1,775.26

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Solution

The fourth proportional to 2,769.94, 3,823.59 and 1,775.26 is: 2,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.94 : 3,823.59 = 1,775.26 : x
  2. Step 2: Convert to fraction form
    2,769.94/3,823.59 = 1,775.26/x
  3. Step 3: Cross multiply
    2,769.94x = 3,823.59 × 1,775.26
  4. Step 4: Simplify right side
    2,769.94x = 6,787,866.38
  5. Step 5: Solve for x
    x = 6,787,866.38/2,769.94
  6. Step 6: Final answer
    x = 2,450.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.