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Finding the Fourth Proportional to 2,751.75, 4,127.64 and 699.75

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Solution

The fourth proportional to 2,751.75, 4,127.64 and 699.75 is: 1,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.75 : 4,127.64 = 699.75 : x
  2. Step 2: Convert to fraction form
    2,751.75/4,127.64 = 699.75/x
  3. Step 3: Cross multiply
    2,751.75x = 4,127.64 × 699.75
  4. Step 4: Simplify right side
    2,751.75x = 2,888,316.09
  5. Step 5: Solve for x
    x = 2,888,316.09/2,751.75
  6. Step 6: Final answer
    x = 1,049.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.