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Finding the Fourth Proportional to 3,015.20, 4,522.80 and 824.15

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Solution

The fourth proportional to 3,015.20, 4,522.80 and 824.15 is: 1,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.20 : 4,522.80 = 824.15 : x
  2. Step 2: Convert to fraction form
    3,015.20/4,522.80 = 824.15/x
  3. Step 3: Cross multiply
    3,015.20x = 4,522.80 × 824.15
  4. Step 4: Simplify right side
    3,015.20x = 3,727,465.62
  5. Step 5: Solve for x
    x = 3,727,465.62/3,015.20
  6. Step 6: Final answer
    x = 1,236.23

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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.