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Finding the Fourth Proportional to 2,771.89, 3,825.61 and 1,827.52

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Solution

The fourth proportional to 2,771.89, 3,825.61 and 1,827.52 is: 2,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.89 : 3,825.61 = 1,827.52 : x
  2. Step 2: Convert to fraction form
    2,771.89/3,825.61 = 1,827.52/x
  3. Step 3: Cross multiply
    2,771.89x = 3,825.61 × 1,827.52
  4. Step 4: Simplify right side
    2,771.89x = 6,991,364.65
  5. Step 5: Solve for x
    x = 6,991,364.65/2,771.89
  6. Step 6: Final answer
    x = 2,522.24

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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.