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Finding the Fourth Proportional to 2,945, 4,414.77 and 2,021

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Solution

The fourth proportional to 2,945, 4,414.77 and 2,021 is: 3,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 4,414.77 = 2,021 : x
  2. Step 2: Convert to fraction form
    2,945/4,414.77 = 2,021/x
  3. Step 3: Cross multiply
    2,945x = 4,414.77 × 2,021
  4. Step 4: Simplify right side
    2,945x = 8,922,250.17
  5. Step 5: Solve for x
    x = 8,922,250.17/2,945
  6. Step 6: Final answer
    x = 3,029.63

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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.