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Finding the Fourth Proportional to 1,747.66, 2,621.34 and 823.42

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Solution

The fourth proportional to 1,747.66, 2,621.34 and 823.42 is: 1,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.66 : 2,621.34 = 823.42 : x
  2. Step 2: Convert to fraction form
    1,747.66/2,621.34 = 823.42/x
  3. Step 3: Cross multiply
    1,747.66x = 2,621.34 × 823.42
  4. Step 4: Simplify right side
    1,747.66x = 2,158,463.78
  5. Step 5: Solve for x
    x = 2,158,463.78/1,747.66
  6. Step 6: Final answer
    x = 1,235.06

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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.