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Finding the Fourth Proportional to 1,936.37, 2,905.77 and 703.86

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Solution

The fourth proportional to 1,936.37, 2,905.77 and 703.86 is: 1,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.37 : 2,905.77 = 703.86 : x
  2. Step 2: Convert to fraction form
    1,936.37/2,905.77 = 703.86/x
  3. Step 3: Cross multiply
    1,936.37x = 2,905.77 × 703.86
  4. Step 4: Simplify right side
    1,936.37x = 2,045,255.27
  5. Step 5: Solve for x
    x = 2,045,255.27/1,936.37
  6. Step 6: Final answer
    x = 1,056.23

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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.