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Finding the Fourth Proportional to 1,940.12, 2,909.12 and 768.93

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Solution

The fourth proportional to 1,940.12, 2,909.12 and 768.93 is: 1,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.12 : 2,909.12 = 768.93 : x
  2. Step 2: Convert to fraction form
    1,940.12/2,909.12 = 768.93/x
  3. Step 3: Cross multiply
    1,940.12x = 2,909.12 × 768.93
  4. Step 4: Simplify right side
    1,940.12x = 2,236,919.43
  5. Step 5: Solve for x
    x = 2,236,919.43/1,940.12
  6. Step 6: Final answer
    x = 1,152.98

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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.