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Finding the Fourth Proportional to 2,021.69, 3,033 and 634.95

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Solution

The fourth proportional to 2,021.69, 3,033 and 634.95 is: 952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.69 : 3,033 = 634.95 : x
  2. Step 2: Convert to fraction form
    2,021.69/3,033 = 634.95/x
  3. Step 3: Cross multiply
    2,021.69x = 3,033 × 634.95
  4. Step 4: Simplify right side
    2,021.69x = 1,925,803.35
  5. Step 5: Solve for x
    x = 1,925,803.35/2,021.69
  6. Step 6: Final answer
    x = 952.57

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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.