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Finding the Fourth Proportional to 2,751.48, 3,800.34 and 2,004.24

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Solution

The fourth proportional to 2,751.48, 3,800.34 and 2,004.24 is: 2,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.48 : 3,800.34 = 2,004.24 : x
  2. Step 2: Convert to fraction form
    2,751.48/3,800.34 = 2,004.24/x
  3. Step 3: Cross multiply
    2,751.48x = 3,800.34 × 2,004.24
  4. Step 4: Simplify right side
    2,751.48x = 7,616,793.44
  5. Step 5: Solve for x
    x = 7,616,793.44/2,751.48
  6. Step 6: Final answer
    x = 2,768.25

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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.