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Finding the Fourth Proportional to 2,923.73, 4,384.34 and 843.23

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Solution

The fourth proportional to 2,923.73, 4,384.34 and 843.23 is: 1,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.73 : 4,384.34 = 843.23 : x
  2. Step 2: Convert to fraction form
    2,923.73/4,384.34 = 843.23/x
  3. Step 3: Cross multiply
    2,923.73x = 4,384.34 × 843.23
  4. Step 4: Simplify right side
    2,923.73x = 3,697,016.93
  5. Step 5: Solve for x
    x = 3,697,016.93/2,923.73
  6. Step 6: Final answer
    x = 1,264.49

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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.