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Finding the Fourth Proportional to 2,230.12, 3,345 and 997.60

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Solution

The fourth proportional to 2,230.12, 3,345 and 997.60 is: 1,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.12 : 3,345 = 997.60 : x
  2. Step 2: Convert to fraction form
    2,230.12/3,345 = 997.60/x
  3. Step 3: Cross multiply
    2,230.12x = 3,345 × 997.60
  4. Step 4: Simplify right side
    2,230.12x = 3,336,972
  5. Step 5: Solve for x
    x = 3,336,972/2,230.12
  6. Step 6: Final answer
    x = 1,496.32

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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.