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Finding the Fourth Proportional to 3,015.02, 4,522.43 and 823.97

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Solution

The fourth proportional to 3,015.02, 4,522.43 and 823.97 is: 1,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.02 : 4,522.43 = 823.97 : x
  2. Step 2: Convert to fraction form
    3,015.02/4,522.43 = 823.97/x
  3. Step 3: Cross multiply
    3,015.02x = 4,522.43 × 823.97
  4. Step 4: Simplify right side
    3,015.02x = 3,726,360.01
  5. Step 5: Solve for x
    x = 3,726,360.01/3,015.02
  6. Step 6: Final answer
    x = 1,235.93

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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.