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Finding the Fourth Proportional to 1,847.70, 2,757.32 and 1,523.70

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Solution

The fourth proportional to 1,847.70, 2,757.32 and 1,523.70 is: 2,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.70 : 2,757.32 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    1,847.70/2,757.32 = 1,523.70/x
  3. Step 3: Cross multiply
    1,847.70x = 2,757.32 × 1,523.70
  4. Step 4: Simplify right side
    1,847.70x = 4,201,320.87
  5. Step 5: Solve for x
    x = 4,201,320.87/1,847.70
  6. Step 6: Final answer
    x = 2,273.81

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1.5x scale

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.