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Finding the Fourth Proportional to 1,747.44, 2,621.40 and 823.08

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Solution

The fourth proportional to 1,747.44, 2,621.40 and 823.08 is: 1,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.44 : 2,621.40 = 823.08 : x
  2. Step 2: Convert to fraction form
    1,747.44/2,621.40 = 823.08/x
  3. Step 3: Cross multiply
    1,747.44x = 2,621.40 × 823.08
  4. Step 4: Simplify right side
    1,747.44x = 2,157,621.91
  5. Step 5: Solve for x
    x = 2,157,621.91/1,747.44
  6. Step 6: Final answer
    x = 1,234.73

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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.