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Finding the Fourth Proportional to 2,768.18, 3,823.20 and 2,146.23

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Solution

The fourth proportional to 2,768.18, 3,823.20 and 2,146.23 is: 2,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.18 : 3,823.20 = 2,146.23 : x
  2. Step 2: Convert to fraction form
    2,768.18/3,823.20 = 2,146.23/x
  3. Step 3: Cross multiply
    2,768.18x = 3,823.20 × 2,146.23
  4. Step 4: Simplify right side
    2,768.18x = 8,205,466.54
  5. Step 5: Solve for x
    x = 8,205,466.54/2,768.18
  6. Step 6: Final answer
    x = 2,964.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.