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Finding the Fourth Proportional to 1,933.36, 2,900.26 and 634.56

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Solution

The fourth proportional to 1,933.36, 2,900.26 and 634.56 is: 951.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.36 : 2,900.26 = 634.56 : x
  2. Step 2: Convert to fraction form
    1,933.36/2,900.26 = 634.56/x
  3. Step 3: Cross multiply
    1,933.36x = 2,900.26 × 634.56
  4. Step 4: Simplify right side
    1,933.36x = 1,840,388.99
  5. Step 5: Solve for x
    x = 1,840,388.99/1,933.36
  6. Step 6: Final answer
    x = 951.91

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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.