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Finding the Fourth Proportional to 3,212.97, 4,819.46 and 904.47

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Solution

The fourth proportional to 3,212.97, 4,819.46 and 904.47 is: 1,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.97 : 4,819.46 = 904.47 : x
  2. Step 2: Convert to fraction form
    3,212.97/4,819.46 = 904.47/x
  3. Step 3: Cross multiply
    3,212.97x = 4,819.46 × 904.47
  4. Step 4: Simplify right side
    3,212.97x = 4,359,052.46
  5. Step 5: Solve for x
    x = 4,359,052.46/3,212.97
  6. Step 6: Final answer
    x = 1,356.71

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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.