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Finding the Fourth Proportional to 2,749.56, 3,794.67 and 1,630.68

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Solution

The fourth proportional to 2,749.56, 3,794.67 and 1,630.68 is: 2,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.56 : 3,794.67 = 1,630.68 : x
  2. Step 2: Convert to fraction form
    2,749.56/3,794.67 = 1,630.68/x
  3. Step 3: Cross multiply
    2,749.56x = 3,794.67 × 1,630.68
  4. Step 4: Simplify right side
    2,749.56x = 6,187,892.48
  5. Step 5: Solve for x
    x = 6,187,892.48/2,749.56
  6. Step 6: Final answer
    x = 2,250.50

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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.