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Finding the Fourth Proportional to 1,937.44, 2,906.16 and 704.86

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Solution

The fourth proportional to 1,937.44, 2,906.16 and 704.86 is: 1,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.44 : 2,906.16 = 704.86 : x
  2. Step 2: Convert to fraction form
    1,937.44/2,906.16 = 704.86/x
  3. Step 3: Cross multiply
    1,937.44x = 2,906.16 × 704.86
  4. Step 4: Simplify right side
    1,937.44x = 2,048,435.94
  5. Step 5: Solve for x
    x = 2,048,435.94/1,937.44
  6. Step 6: Final answer
    x = 1,057.29

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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.