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Finding the Fourth Proportional to 3,230.64, 4,846.02 and 922.14

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Solution

The fourth proportional to 3,230.64, 4,846.02 and 922.14 is: 1,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.64 : 4,846.02 = 922.14 : x
  2. Step 2: Convert to fraction form
    3,230.64/4,846.02 = 922.14/x
  3. Step 3: Cross multiply
    3,230.64x = 4,846.02 × 922.14
  4. Step 4: Simplify right side
    3,230.64x = 4,468,708.88
  5. Step 5: Solve for x
    x = 4,468,708.88/3,230.64
  6. Step 6: Final answer
    x = 1,383.23

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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.