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Finding the Fourth Proportional to 2,471.87, 3,707.71 and 622.96

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Solution

The fourth proportional to 2,471.87, 3,707.71 and 622.96 is: 934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.87 : 3,707.71 = 622.96 : x
  2. Step 2: Convert to fraction form
    2,471.87/3,707.71 = 622.96/x
  3. Step 3: Cross multiply
    2,471.87x = 3,707.71 × 622.96
  4. Step 4: Simplify right side
    2,471.87x = 2,309,768.55
  5. Step 5: Solve for x
    x = 2,309,768.55/2,471.87
  6. Step 6: Final answer
    x = 934.42

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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.