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Finding the Fourth Proportional to 1,832.61, 2,744.77 and 1,100.64

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Solution

The fourth proportional to 1,832.61, 2,744.77 and 1,100.64 is: 1,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.61 : 2,744.77 = 1,100.64 : x
  2. Step 2: Convert to fraction form
    1,832.61/2,744.77 = 1,100.64/x
  3. Step 3: Cross multiply
    1,832.61x = 2,744.77 × 1,100.64
  4. Step 4: Simplify right side
    1,832.61x = 3,021,003.65
  5. Step 5: Solve for x
    x = 3,021,003.65/1,832.61
  6. Step 6: Final answer
    x = 1,648.47

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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.