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Finding the Fourth Proportional to 2,549.77, 3,825.20 and 794.74

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Solution

The fourth proportional to 2,549.77, 3,825.20 and 794.74 is: 1,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.77 : 3,825.20 = 794.74 : x
  2. Step 2: Convert to fraction form
    2,549.77/3,825.20 = 794.74/x
  3. Step 3: Cross multiply
    2,549.77x = 3,825.20 × 794.74
  4. Step 4: Simplify right side
    2,549.77x = 3,040,020.32
  5. Step 5: Solve for x
    x = 3,040,020.32/2,549.77
  6. Step 6: Final answer
    x = 1,192.27

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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.