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Finding the Fourth Proportional to 2,561.96, 3,842.88 and 1,100.12

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Solution

The fourth proportional to 2,561.96, 3,842.88 and 1,100.12 is: 1,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.96 : 3,842.88 = 1,100.12 : x
  2. Step 2: Convert to fraction form
    2,561.96/3,842.88 = 1,100.12/x
  3. Step 3: Cross multiply
    2,561.96x = 3,842.88 × 1,100.12
  4. Step 4: Simplify right side
    2,561.96x = 4,227,629.15
  5. Step 5: Solve for x
    x = 4,227,629.15/2,561.96
  6. Step 6: Final answer
    x = 1,650.15

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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.