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Finding the Fourth Proportional to 2,230.54, 3,346.72 and 997.72

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Solution

The fourth proportional to 2,230.54, 3,346.72 and 997.72 is: 1,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.54 : 3,346.72 = 997.72 : x
  2. Step 2: Convert to fraction form
    2,230.54/3,346.72 = 997.72/x
  3. Step 3: Cross multiply
    2,230.54x = 3,346.72 × 997.72
  4. Step 4: Simplify right side
    2,230.54x = 3,339,078.62
  5. Step 5: Solve for x
    x = 3,339,078.62/2,230.54
  6. Step 6: Final answer
    x = 1,496.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.