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Finding the Fourth Proportional to 3,008.50, 4,512.83 and 1,426.84

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Solution

The fourth proportional to 3,008.50, 4,512.83 and 1,426.84 is: 2,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.50 : 4,512.83 = 1,426.84 : x
  2. Step 2: Convert to fraction form
    3,008.50/4,512.83 = 1,426.84/x
  3. Step 3: Cross multiply
    3,008.50x = 4,512.83 × 1,426.84
  4. Step 4: Simplify right side
    3,008.50x = 6,439,067.94
  5. Step 5: Solve for x
    x = 6,439,067.94/3,008.50
  6. Step 6: Final answer
    x = 2,140.29

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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.