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Finding the Fourth Proportional to 2,549.93, 3,825.23 and 1,757.82

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Solution

The fourth proportional to 2,549.93, 3,825.23 and 1,757.82 is: 2,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.93 : 3,825.23 = 1,757.82 : x
  2. Step 2: Convert to fraction form
    2,549.93/3,825.23 = 1,757.82/x
  3. Step 3: Cross multiply
    2,549.93x = 3,825.23 × 1,757.82
  4. Step 4: Simplify right side
    2,549.93x = 6,724,074.07
  5. Step 5: Solve for x
    x = 6,724,074.07/2,549.93
  6. Step 6: Final answer
    x = 2,636.97

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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.