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Finding the Fourth Proportional to 3,259.80, 4,889.70 and 794.62

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Solution

The fourth proportional to 3,259.80, 4,889.70 and 794.62 is: 1,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.80 : 4,889.70 = 794.62 : x
  2. Step 2: Convert to fraction form
    3,259.80/4,889.70 = 794.62/x
  3. Step 3: Cross multiply
    3,259.80x = 4,889.70 × 794.62
  4. Step 4: Simplify right side
    3,259.80x = 3,885,453.41
  5. Step 5: Solve for x
    x = 3,885,453.41/3,259.80
  6. Step 6: Final answer
    x = 1,191.93

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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.