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Finding the Fourth Proportional to 3,122.44, 4,677.68 and 2,338.44

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Solution

The fourth proportional to 3,122.44, 4,677.68 and 2,338.44 is: 3,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.44 : 4,677.68 = 2,338.44 : x
  2. Step 2: Convert to fraction form
    3,122.44/4,677.68 = 2,338.44/x
  3. Step 3: Cross multiply
    3,122.44x = 4,677.68 × 2,338.44
  4. Step 4: Simplify right side
    3,122.44x = 10,938,474.02
  5. Step 5: Solve for x
    x = 10,938,474.02/3,122.44
  6. Step 6: Final answer
    x = 3,503.18

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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.