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Finding the Fourth Proportional to 2,529.30, 3,793.95 and 798.06

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Solution

The fourth proportional to 2,529.30, 3,793.95 and 798.06 is: 1,197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.30 : 3,793.95 = 798.06 : x
  2. Step 2: Convert to fraction form
    2,529.30/3,793.95 = 798.06/x
  3. Step 3: Cross multiply
    2,529.30x = 3,793.95 × 798.06
  4. Step 4: Simplify right side
    2,529.30x = 3,027,799.74
  5. Step 5: Solve for x
    x = 3,027,799.74/2,529.30
  6. Step 6: Final answer
    x = 1,197.09

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Similar ratio
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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.