Home / 2,123.41-3,183.89-823.36

Finding the Fourth Proportional to 2,123.41, 3,183.89 and 823.36

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Solution

The fourth proportional to 2,123.41, 3,183.89 and 823.36 is: 1,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.41 : 3,183.89 = 823.36 : x
  2. Step 2: Convert to fraction form
    2,123.41/3,183.89 = 823.36/x
  3. Step 3: Cross multiply
    2,123.41x = 3,183.89 × 823.36
  4. Step 4: Simplify right side
    2,123.41x = 2,621,492.16
  5. Step 5: Solve for x
    x = 2,621,492.16/2,123.41
  6. Step 6: Final answer
    x = 1,234.57

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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.