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Finding the Fourth Proportional to 2,789.92, 3,849.80 and 1,594.82

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Solution

The fourth proportional to 2,789.92, 3,849.80 and 1,594.82 is: 2,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.92 : 3,849.80 = 1,594.82 : x
  2. Step 2: Convert to fraction form
    2,789.92/3,849.80 = 1,594.82/x
  3. Step 3: Cross multiply
    2,789.92x = 3,849.80 × 1,594.82
  4. Step 4: Simplify right side
    2,789.92x = 6,139,738.04
  5. Step 5: Solve for x
    x = 6,139,738.04/2,789.92
  6. Step 6: Final answer
    x = 2,200.69

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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.