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Finding the Fourth Proportional to 3,015.63, 4,523.04 and 824.58

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Solution

The fourth proportional to 3,015.63, 4,523.04 and 824.58 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.63 : 4,523.04 = 824.58 : x
  2. Step 2: Convert to fraction form
    3,015.63/4,523.04 = 824.58/x
  3. Step 3: Cross multiply
    3,015.63x = 4,523.04 × 824.58
  4. Step 4: Simplify right side
    3,015.63x = 3,729,608.32
  5. Step 5: Solve for x
    x = 3,729,608.32/3,015.63
  6. Step 6: Final answer
    x = 1,236.76

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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.