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Finding the Fourth Proportional to 3,230.12, 4,845.99 and 921.62

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Solution

The fourth proportional to 3,230.12, 4,845.99 and 921.62 is: 1,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.12 : 4,845.99 = 921.62 : x
  2. Step 2: Convert to fraction form
    3,230.12/4,845.99 = 921.62/x
  3. Step 3: Cross multiply
    3,230.12x = 4,845.99 × 921.62
  4. Step 4: Simplify right side
    3,230.12x = 4,466,137.07
  5. Step 5: Solve for x
    x = 4,466,137.07/3,230.12
  6. Step 6: Final answer
    x = 1,382.66

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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.