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Finding the Fourth Proportional to 2,786.25, 4,178.94 and 937.35

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Solution

The fourth proportional to 2,786.25, 4,178.94 and 937.35 is: 1,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.25 : 4,178.94 = 937.35 : x
  2. Step 2: Convert to fraction form
    2,786.25/4,178.94 = 937.35/x
  3. Step 3: Cross multiply
    2,786.25x = 4,178.94 × 937.35
  4. Step 4: Simplify right side
    2,786.25x = 3,917,129.41
  5. Step 5: Solve for x
    x = 3,917,129.41/2,786.25
  6. Step 6: Final answer
    x = 1,405.88

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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.