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Finding the Fourth Proportional to 1,893.72, 2,832.36 and 1,111.86

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Solution

The fourth proportional to 1,893.72, 2,832.36 and 1,111.86 is: 1,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.72 : 2,832.36 = 1,111.86 : x
  2. Step 2: Convert to fraction form
    1,893.72/2,832.36 = 1,111.86/x
  3. Step 3: Cross multiply
    1,893.72x = 2,832.36 × 1,111.86
  4. Step 4: Simplify right side
    1,893.72x = 3,149,187.79
  5. Step 5: Solve for x
    x = 3,149,187.79/1,893.72
  6. Step 6: Final answer
    x = 1,662.96

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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.