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Finding the Fourth Proportional to 2,662.96, 3,994.44 and 1,295.92

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Solution

The fourth proportional to 2,662.96, 3,994.44 and 1,295.92 is: 1,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.96 : 3,994.44 = 1,295.92 : x
  2. Step 2: Convert to fraction form
    2,662.96/3,994.44 = 1,295.92/x
  3. Step 3: Cross multiply
    2,662.96x = 3,994.44 × 1,295.92
  4. Step 4: Simplify right side
    2,662.96x = 5,176,474.68
  5. Step 5: Solve for x
    x = 5,176,474.68/2,662.96
  6. Step 6: Final answer
    x = 1,943.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.