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Finding the Fourth Proportional to 2,771.12, 3,825.42 and 2,391.50

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Solution

The fourth proportional to 2,771.12, 3,825.42 and 2,391.50 is: 3,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.12 : 3,825.42 = 2,391.50 : x
  2. Step 2: Convert to fraction form
    2,771.12/3,825.42 = 2,391.50/x
  3. Step 3: Cross multiply
    2,771.12x = 3,825.42 × 2,391.50
  4. Step 4: Simplify right side
    2,771.12x = 9,148,491.93
  5. Step 5: Solve for x
    x = 9,148,491.93/2,771.12
  6. Step 6: Final answer
    x = 3,301.37

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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.