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Finding the Fourth Proportional to 2,474.08, 3,711 and 625.18

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Solution

The fourth proportional to 2,474.08, 3,711 and 625.18 is: 937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.08 : 3,711 = 625.18 : x
  2. Step 2: Convert to fraction form
    2,474.08/3,711 = 625.18/x
  3. Step 3: Cross multiply
    2,474.08x = 3,711 × 625.18
  4. Step 4: Simplify right side
    2,474.08x = 2,320,042.98
  5. Step 5: Solve for x
    x = 2,320,042.98/2,474.08
  6. Step 6: Final answer
    x = 937.74

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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.