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Finding the Fourth Proportional to 2,771.34, 3,828.24 and 2,246.46

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Solution

The fourth proportional to 2,771.34, 3,828.24 and 2,246.46 is: 3,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.34 : 3,828.24 = 2,246.46 : x
  2. Step 2: Convert to fraction form
    2,771.34/3,828.24 = 2,246.46/x
  3. Step 3: Cross multiply
    2,771.34x = 3,828.24 × 2,246.46
  4. Step 4: Simplify right side
    2,771.34x = 8,599,988.03
  5. Step 5: Solve for x
    x = 8,599,988.03/2,771.34
  6. Step 6: Final answer
    x = 3,103.19

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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.