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Finding the Fourth Proportional to 2,771.66, 3,823.19 and 1,827.54

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Solution

The fourth proportional to 2,771.66, 3,823.19 and 1,827.54 is: 2,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.66 : 3,823.19 = 1,827.54 : x
  2. Step 2: Convert to fraction form
    2,771.66/3,823.19 = 1,827.54/x
  3. Step 3: Cross multiply
    2,771.66x = 3,823.19 × 1,827.54
  4. Step 4: Simplify right side
    2,771.66x = 6,987,032.65
  5. Step 5: Solve for x
    x = 6,987,032.65/2,771.66
  6. Step 6: Final answer
    x = 2,520.88

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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.