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Finding the Fourth Proportional to 2,786.70, 4,180.36 and 937.94

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Solution

The fourth proportional to 2,786.70, 4,180.36 and 937.94 is: 1,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.70 : 4,180.36 = 937.94 : x
  2. Step 2: Convert to fraction form
    2,786.70/4,180.36 = 937.94/x
  3. Step 3: Cross multiply
    2,786.70x = 4,180.36 × 937.94
  4. Step 4: Simplify right side
    2,786.70x = 3,920,926.86
  5. Step 5: Solve for x
    x = 3,920,926.86/2,786.70
  6. Step 6: Final answer
    x = 1,407.01

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1.5x scale

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.