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Finding the Fourth Proportional to 2,122.77, 3,181.71 and 823.14

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Solution

The fourth proportional to 2,122.77, 3,181.71 and 823.14 is: 1,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.77 : 3,181.71 = 823.14 : x
  2. Step 2: Convert to fraction form
    2,122.77/3,181.71 = 823.14/x
  3. Step 3: Cross multiply
    2,122.77x = 3,181.71 × 823.14
  4. Step 4: Simplify right side
    2,122.77x = 2,618,992.77
  5. Step 5: Solve for x
    x = 2,618,992.77/2,122.77
  6. Step 6: Final answer
    x = 1,233.76

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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.