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Finding the Fourth Proportional to 2,123.32, 3,183.94 and 662.47

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Solution

The fourth proportional to 2,123.32, 3,183.94 and 662.47 is: 993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.32 : 3,183.94 = 662.47 : x
  2. Step 2: Convert to fraction form
    2,123.32/3,183.94 = 662.47/x
  3. Step 3: Cross multiply
    2,123.32x = 3,183.94 × 662.47
  4. Step 4: Simplify right side
    2,123.32x = 2,109,264.73
  5. Step 5: Solve for x
    x = 2,109,264.73/2,123.32
  6. Step 6: Final answer
    x = 993.38

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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.