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Finding the Fourth Proportional to 2,744.46, 4,104.54 and 2,438.28

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Solution

The fourth proportional to 2,744.46, 4,104.54 and 2,438.28 is: 3,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.46 : 4,104.54 = 2,438.28 : x
  2. Step 2: Convert to fraction form
    2,744.46/4,104.54 = 2,438.28/x
  3. Step 3: Cross multiply
    2,744.46x = 4,104.54 × 2,438.28
  4. Step 4: Simplify right side
    2,744.46x = 10,008,017.79
  5. Step 5: Solve for x
    x = 10,008,017.79/2,744.46
  6. Step 6: Final answer
    x = 3,646.63

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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.