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Finding the Fourth Proportional to 2,823.30, 3,942.90 and 2,823.30

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Solution

The fourth proportional to 2,823.30, 3,942.90 and 2,823.30 is: 3,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.30 : 3,942.90 = 2,823.30 : x
  2. Step 2: Convert to fraction form
    2,823.30/3,942.90 = 2,823.30/x
  3. Step 3: Cross multiply
    2,823.30x = 3,942.90 × 2,823.30
  4. Step 4: Simplify right side
    2,823.30x = 11,131,989.57
  5. Step 5: Solve for x
    x = 11,131,989.57/2,823.30
  6. Step 6: Final answer
    x = 3,942.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.