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Finding the Fourth Proportional to 2,786.94, 4,180.55 and 937.88

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Solution

The fourth proportional to 2,786.94, 4,180.55 and 937.88 is: 1,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.94 : 4,180.55 = 937.88 : x
  2. Step 2: Convert to fraction form
    2,786.94/4,180.55 = 937.88/x
  3. Step 3: Cross multiply
    2,786.94x = 4,180.55 × 937.88
  4. Step 4: Simplify right side
    2,786.94x = 3,920,844.32
  5. Step 5: Solve for x
    x = 3,920,844.32/2,786.94
  6. Step 6: Final answer
    x = 1,406.86

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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.