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Finding the Fourth Proportional to 2,749.85, 3,795.81 and 2,007.64

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Solution

The fourth proportional to 2,749.85, 3,795.81 and 2,007.64 is: 2,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.85 : 3,795.81 = 2,007.64 : x
  2. Step 2: Convert to fraction form
    2,749.85/3,795.81 = 2,007.64/x
  3. Step 3: Cross multiply
    2,749.85x = 3,795.81 × 2,007.64
  4. Step 4: Simplify right side
    2,749.85x = 7,620,607.15
  5. Step 5: Solve for x
    x = 7,620,607.15/2,749.85
  6. Step 6: Final answer
    x = 2,771.28

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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.