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Finding the Fourth Proportional to 2,741.49, 4,111.01 and 793.25

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Solution

The fourth proportional to 2,741.49, 4,111.01 and 793.25 is: 1,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.49 : 4,111.01 = 793.25 : x
  2. Step 2: Convert to fraction form
    2,741.49/4,111.01 = 793.25/x
  3. Step 3: Cross multiply
    2,741.49x = 4,111.01 × 793.25
  4. Step 4: Simplify right side
    2,741.49x = 3,261,034.16
  5. Step 5: Solve for x
    x = 3,261,034.16/2,741.49
  6. Step 6: Final answer
    x = 1,189.51

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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.