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Finding the Fourth Proportional to 2,311.70, 3,449.75 and 1,847.30

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Solution

The fourth proportional to 2,311.70, 3,449.75 and 1,847.30 is: 2,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.70 : 3,449.75 = 1,847.30 : x
  2. Step 2: Convert to fraction form
    2,311.70/3,449.75 = 1,847.30/x
  3. Step 3: Cross multiply
    2,311.70x = 3,449.75 × 1,847.30
  4. Step 4: Simplify right side
    2,311.70x = 6,372,723.18
  5. Step 5: Solve for x
    x = 6,372,723.18/2,311.70
  6. Step 6: Final answer
    x = 2,756.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.