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Finding the Fourth Proportional to 3,471.96, 4,791.34 and 1,900.20

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Solution

The fourth proportional to 3,471.96, 4,791.34 and 1,900.20 is: 2,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.96 : 4,791.34 = 1,900.20 : x
  2. Step 2: Convert to fraction form
    3,471.96/4,791.34 = 1,900.20/x
  3. Step 3: Cross multiply
    3,471.96x = 4,791.34 × 1,900.20
  4. Step 4: Simplify right side
    3,471.96x = 9,104,504.27
  5. Step 5: Solve for x
    x = 9,104,504.27/3,471.96
  6. Step 6: Final answer
    x = 2,622.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.