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Finding the Fourth Proportional to 2,983.21, 4,474.47 and 792.11

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Solution

The fourth proportional to 2,983.21, 4,474.47 and 792.11 is: 1,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.21 : 4,474.47 = 792.11 : x
  2. Step 2: Convert to fraction form
    2,983.21/4,474.47 = 792.11/x
  3. Step 3: Cross multiply
    2,983.21x = 4,474.47 × 792.11
  4. Step 4: Simplify right side
    2,983.21x = 3,544,257.28
  5. Step 5: Solve for x
    x = 3,544,257.28/2,983.21
  6. Step 6: Final answer
    x = 1,188.07

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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.