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Finding the Fourth Proportional to 3,015.22, 4,522.95 and 823.94

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Solution

The fourth proportional to 3,015.22, 4,522.95 and 823.94 is: 1,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.22 : 4,522.95 = 823.94 : x
  2. Step 2: Convert to fraction form
    3,015.22/4,522.95 = 823.94/x
  3. Step 3: Cross multiply
    3,015.22x = 4,522.95 × 823.94
  4. Step 4: Simplify right side
    3,015.22x = 3,726,640.33
  5. Step 5: Solve for x
    x = 3,726,640.33/3,015.22
  6. Step 6: Final answer
    x = 1,235.94

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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.