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Finding the Fourth Proportional to 3,199.42, 4,799.31 and 890.92

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Solution

The fourth proportional to 3,199.42, 4,799.31 and 890.92 is: 1,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.42 : 4,799.31 = 890.92 : x
  2. Step 2: Convert to fraction form
    3,199.42/4,799.31 = 890.92/x
  3. Step 3: Cross multiply
    3,199.42x = 4,799.31 × 890.92
  4. Step 4: Simplify right side
    3,199.42x = 4,275,801.27
  5. Step 5: Solve for x
    x = 4,275,801.27/3,199.42
  6. Step 6: Final answer
    x = 1,336.43

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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.