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Finding the Fourth Proportional to 1,967.80, 2,951.70 and 1,838.20

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Solution

The fourth proportional to 1,967.80, 2,951.70 and 1,838.20 is: 2,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.80 : 2,951.70 = 1,838.20 : x
  2. Step 2: Convert to fraction form
    1,967.80/2,951.70 = 1,838.20/x
  3. Step 3: Cross multiply
    1,967.80x = 2,951.70 × 1,838.20
  4. Step 4: Simplify right side
    1,967.80x = 5,425,814.94
  5. Step 5: Solve for x
    x = 5,425,814.94/1,967.80
  6. Step 6: Final answer
    x = 2,757.30

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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.