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Finding the Fourth Proportional to 2,824.54, 4,238.33 and 2,126.41

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Solution

The fourth proportional to 2,824.54, 4,238.33 and 2,126.41 is: 3,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.54 : 4,238.33 = 2,126.41 : x
  2. Step 2: Convert to fraction form
    2,824.54/4,238.33 = 2,126.41/x
  3. Step 3: Cross multiply
    2,824.54x = 4,238.33 × 2,126.41
  4. Step 4: Simplify right side
    2,824.54x = 9,012,429.91
  5. Step 5: Solve for x
    x = 9,012,429.91/2,824.54
  6. Step 6: Final answer
    x = 3,190.76

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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.