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Finding the Fourth Proportional to 2,749.62, 3,789.96 and 1,863.84

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Solution

The fourth proportional to 2,749.62, 3,789.96 and 1,863.84 is: 2,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.62 : 3,789.96 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    2,749.62/3,789.96 = 1,863.84/x
  3. Step 3: Cross multiply
    2,749.62x = 3,789.96 × 1,863.84
  4. Step 4: Simplify right side
    2,749.62x = 7,063,879.05
  5. Step 5: Solve for x
    x = 7,063,879.05/2,749.62
  6. Step 6: Final answer
    x = 2,569.04

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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.