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Finding the Fourth Proportional to 2,549.48, 3,824.44 and 794.48

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Solution

The fourth proportional to 2,549.48, 3,824.44 and 794.48 is: 1,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.48 : 3,824.44 = 794.48 : x
  2. Step 2: Convert to fraction form
    2,549.48/3,824.44 = 794.48/x
  3. Step 3: Cross multiply
    2,549.48x = 3,824.44 × 794.48
  4. Step 4: Simplify right side
    2,549.48x = 3,038,441.09
  5. Step 5: Solve for x
    x = 3,038,441.09/2,549.48
  6. Step 6: Final answer
    x = 1,191.79

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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.