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Finding the Fourth Proportional to 3,631.72, 5,446.14 and 1,901.80

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Solution

The fourth proportional to 3,631.72, 5,446.14 and 1,901.80 is: 2,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.72 : 5,446.14 = 1,901.80 : x
  2. Step 2: Convert to fraction form
    3,631.72/5,446.14 = 1,901.80/x
  3. Step 3: Cross multiply
    3,631.72x = 5,446.14 × 1,901.80
  4. Step 4: Simplify right side
    3,631.72x = 10,357,469.05
  5. Step 5: Solve for x
    x = 10,357,469.05/3,631.72
  6. Step 6: Final answer
    x = 2,851.95

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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.