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Finding the Fourth Proportional to 2,740.98, 4,112.08 and 793.03

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Solution

The fourth proportional to 2,740.98, 4,112.08 and 793.03 is: 1,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.98 : 4,112.08 = 793.03 : x
  2. Step 2: Convert to fraction form
    2,740.98/4,112.08 = 793.03/x
  3. Step 3: Cross multiply
    2,740.98x = 4,112.08 × 793.03
  4. Step 4: Simplify right side
    2,740.98x = 3,261,002.80
  5. Step 5: Solve for x
    x = 3,261,002.80/2,740.98
  6. Step 6: Final answer
    x = 1,189.72

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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.