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Finding the Fourth Proportional to 2,771.56, 3,825.60 and 1,709.65

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Solution

The fourth proportional to 2,771.56, 3,825.60 and 1,709.65 is: 2,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.56 : 3,825.60 = 1,709.65 : x
  2. Step 2: Convert to fraction form
    2,771.56/3,825.60 = 1,709.65/x
  3. Step 3: Cross multiply
    2,771.56x = 3,825.60 × 1,709.65
  4. Step 4: Simplify right side
    2,771.56x = 6,540,440.79
  5. Step 5: Solve for x
    x = 6,540,440.79/2,771.56
  6. Step 6: Final answer
    x = 2,359.84

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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.