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Finding the Fourth Proportional to 2,563.53, 3,847.73 and 1,591.53

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Solution

The fourth proportional to 2,563.53, 3,847.73 and 1,591.53 is: 2,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.53 : 3,847.73 = 1,591.53 : x
  2. Step 2: Convert to fraction form
    2,563.53/3,847.73 = 1,591.53/x
  3. Step 3: Cross multiply
    2,563.53x = 3,847.73 × 1,591.53
  4. Step 4: Simplify right side
    2,563.53x = 6,123,769.77
  5. Step 5: Solve for x
    x = 6,123,769.77/2,563.53
  6. Step 6: Final answer
    x = 2,388.80

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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.