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Finding the Fourth Proportional to 3,021.71, 4,532.70 and 830.46

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Solution

The fourth proportional to 3,021.71, 4,532.70 and 830.46 is: 1,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.71 : 4,532.70 = 830.46 : x
  2. Step 2: Convert to fraction form
    3,021.71/4,532.70 = 830.46/x
  3. Step 3: Cross multiply
    3,021.71x = 4,532.70 × 830.46
  4. Step 4: Simplify right side
    3,021.71x = 3,764,226.04
  5. Step 5: Solve for x
    x = 3,764,226.04/3,021.71
  6. Step 6: Final answer
    x = 1,245.73

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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.