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Finding the Fourth Proportional to 2,123.24, 3,183.66 and 967.88

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Solution

The fourth proportional to 2,123.24, 3,183.66 and 967.88 is: 1,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.24 : 3,183.66 = 967.88 : x
  2. Step 2: Convert to fraction form
    2,123.24/3,183.66 = 967.88/x
  3. Step 3: Cross multiply
    2,123.24x = 3,183.66 × 967.88
  4. Step 4: Simplify right side
    2,123.24x = 3,081,400.84
  5. Step 5: Solve for x
    x = 3,081,400.84/2,123.24
  6. Step 6: Final answer
    x = 1,451.27

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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.