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Finding the Fourth Proportional to 3,289.50, 4,934.34 and 824.31

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Solution

The fourth proportional to 3,289.50, 4,934.34 and 824.31 is: 1,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 4,934.34 = 824.31 : x
  2. Step 2: Convert to fraction form
    3,289.50/4,934.34 = 824.31/x
  3. Step 3: Cross multiply
    3,289.50x = 4,934.34 × 824.31
  4. Step 4: Simplify right side
    3,289.50x = 4,067,425.81
  5. Step 5: Solve for x
    x = 4,067,425.81/3,289.50
  6. Step 6: Final answer
    x = 1,236.49

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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.