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Finding the Fourth Proportional to 2,883.96, 4,318.65 and 2,067.48

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Solution

The fourth proportional to 2,883.96, 4,318.65 and 2,067.48 is: 3,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.96 : 4,318.65 = 2,067.48 : x
  2. Step 2: Convert to fraction form
    2,883.96/4,318.65 = 2,067.48/x
  3. Step 3: Cross multiply
    2,883.96x = 4,318.65 × 2,067.48
  4. Step 4: Simplify right side
    2,883.96x = 8,928,722.50
  5. Step 5: Solve for x
    x = 8,928,722.50/2,883.96
  6. Step 6: Final answer
    x = 3,095.99

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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.