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Finding the Fourth Proportional to 3,015.69, 4,523.52 and 824.43

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Solution

The fourth proportional to 3,015.69, 4,523.52 and 824.43 is: 1,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.69 : 4,523.52 = 824.43 : x
  2. Step 2: Convert to fraction form
    3,015.69/4,523.52 = 824.43/x
  3. Step 3: Cross multiply
    3,015.69x = 4,523.52 × 824.43
  4. Step 4: Simplify right side
    3,015.69x = 3,729,325.59
  5. Step 5: Solve for x
    x = 3,729,325.59/3,015.69
  6. Step 6: Final answer
    x = 1,236.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.