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Finding the Fourth Proportional to 2,549.12, 3,824.27 and 794.03

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Solution

The fourth proportional to 2,549.12, 3,824.27 and 794.03 is: 1,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.12 : 3,824.27 = 794.03 : x
  2. Step 2: Convert to fraction form
    2,549.12/3,824.27 = 794.03/x
  3. Step 3: Cross multiply
    2,549.12x = 3,824.27 × 794.03
  4. Step 4: Simplify right side
    2,549.12x = 3,036,562.02
  5. Step 5: Solve for x
    x = 3,036,562.02/2,549.12
  6. Step 6: Final answer
    x = 1,191.22

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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.