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Finding the Fourth Proportional to 3,015.14, 4,522.10 and 823.34

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Solution

The fourth proportional to 3,015.14, 4,522.10 and 823.34 is: 1,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.14 : 4,522.10 = 823.34 : x
  2. Step 2: Convert to fraction form
    3,015.14/4,522.10 = 823.34/x
  3. Step 3: Cross multiply
    3,015.14x = 4,522.10 × 823.34
  4. Step 4: Simplify right side
    3,015.14x = 3,723,239.18
  5. Step 5: Solve for x
    x = 3,723,239.18/3,015.14
  6. Step 6: Final answer
    x = 1,234.85

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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.