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Finding the Fourth Proportional to 1,936.71, 2,905.52 and 767.12

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Solution

The fourth proportional to 1,936.71, 2,905.52 and 767.12 is: 1,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.71 : 2,905.52 = 767.12 : x
  2. Step 2: Convert to fraction form
    1,936.71/2,905.52 = 767.12/x
  3. Step 3: Cross multiply
    1,936.71x = 2,905.52 × 767.12
  4. Step 4: Simplify right side
    1,936.71x = 2,228,884.80
  5. Step 5: Solve for x
    x = 2,228,884.80/1,936.71
  6. Step 6: Final answer
    x = 1,150.86

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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.