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Finding the Fourth Proportional to 1,936.10, 2,900.10 and 1,612.10

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Solution

The fourth proportional to 1,936.10, 2,900.10 and 1,612.10 is: 2,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.10 : 2,900.10 = 1,612.10 : x
  2. Step 2: Convert to fraction form
    1,936.10/2,900.10 = 1,612.10/x
  3. Step 3: Cross multiply
    1,936.10x = 2,900.10 × 1,612.10
  4. Step 4: Simplify right side
    1,936.10x = 4,675,251.21
  5. Step 5: Solve for x
    x = 4,675,251.21/1,936.10
  6. Step 6: Final answer
    x = 2,414.78

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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.