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Finding the Fourth Proportional to 2,474.96, 3,712.10 and 625.96

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Solution

The fourth proportional to 2,474.96, 3,712.10 and 625.96 is: 938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.96 : 3,712.10 = 625.96 : x
  2. Step 2: Convert to fraction form
    2,474.96/3,712.10 = 625.96/x
  3. Step 3: Cross multiply
    2,474.96x = 3,712.10 × 625.96
  4. Step 4: Simplify right side
    2,474.96x = 2,323,622.99
  5. Step 5: Solve for x
    x = 2,323,622.99/2,474.96
  6. Step 6: Final answer
    x = 938.85

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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.