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Finding the Fourth Proportional to 2,766.36, 3,810.90 and 2,324.28

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Solution

The fourth proportional to 2,766.36, 3,810.90 and 2,324.28 is: 3,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.36 : 3,810.90 = 2,324.28 : x
  2. Step 2: Convert to fraction form
    2,766.36/3,810.90 = 2,324.28/x
  3. Step 3: Cross multiply
    2,766.36x = 3,810.90 × 2,324.28
  4. Step 4: Simplify right side
    2,766.36x = 8,857,598.65
  5. Step 5: Solve for x
    x = 8,857,598.65/2,766.36
  6. Step 6: Final answer
    x = 3,201.90

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