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Finding the Fourth Proportional to 1,936.19, 2,905.67 and 704.66

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Solution

The fourth proportional to 1,936.19, 2,905.67 and 704.66 is: 1,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.19 : 2,905.67 = 704.66 : x
  2. Step 2: Convert to fraction form
    1,936.19/2,905.67 = 704.66/x
  3. Step 3: Cross multiply
    1,936.19x = 2,905.67 × 704.66
  4. Step 4: Simplify right side
    1,936.19x = 2,047,496.66
  5. Step 5: Solve for x
    x = 2,047,496.66/1,936.19
  6. Step 6: Final answer
    x = 1,057.49

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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.