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Finding the Fourth Proportional to 2,854.92, 3,939.80 and 1,596.04

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Solution

The fourth proportional to 2,854.92, 3,939.80 and 1,596.04 is: 2,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.92 : 3,939.80 = 1,596.04 : x
  2. Step 2: Convert to fraction form
    2,854.92/3,939.80 = 1,596.04/x
  3. Step 3: Cross multiply
    2,854.92x = 3,939.80 × 1,596.04
  4. Step 4: Simplify right side
    2,854.92x = 6,288,078.39
  5. Step 5: Solve for x
    x = 6,288,078.39/2,854.92
  6. Step 6: Final answer
    x = 2,202.54

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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.