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Finding the Fourth Proportional to 2,039.84, 3,059.76 and 634.28

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Solution

The fourth proportional to 2,039.84, 3,059.76 and 634.28 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.84 : 3,059.76 = 634.28 : x
  2. Step 2: Convert to fraction form
    2,039.84/3,059.76 = 634.28/x
  3. Step 3: Cross multiply
    2,039.84x = 3,059.76 × 634.28
  4. Step 4: Simplify right side
    2,039.84x = 1,940,744.57
  5. Step 5: Solve for x
    x = 1,940,744.57/2,039.84
  6. Step 6: Final answer
    x = 951.42

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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.