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Finding the Fourth Proportional to 3,014.28, 4,521.36 and 822.96

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Solution

The fourth proportional to 3,014.28, 4,521.36 and 822.96 is: 1,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.28 : 4,521.36 = 822.96 : x
  2. Step 2: Convert to fraction form
    3,014.28/4,521.36 = 822.96/x
  3. Step 3: Cross multiply
    3,014.28x = 4,521.36 × 822.96
  4. Step 4: Simplify right side
    3,014.28x = 3,720,898.43
  5. Step 5: Solve for x
    x = 3,720,898.43/3,014.28
  6. Step 6: Final answer
    x = 1,234.42

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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.