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Finding the Fourth Proportional to 2,079.37, 3,120.30 and 829.74

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Solution

The fourth proportional to 2,079.37, 3,120.30 and 829.74 is: 1,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.37 : 3,120.30 = 829.74 : x
  2. Step 2: Convert to fraction form
    2,079.37/3,120.30 = 829.74/x
  3. Step 3: Cross multiply
    2,079.37x = 3,120.30 × 829.74
  4. Step 4: Simplify right side
    2,079.37x = 2,589,033.57
  5. Step 5: Solve for x
    x = 2,589,033.57/2,079.37
  6. Step 6: Final answer
    x = 1,245.11

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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.