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Finding the Fourth Proportional to 2,767.63, 3,824.18 and 2,212.68

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Solution

The fourth proportional to 2,767.63, 3,824.18 and 2,212.68 is: 3,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.63 : 3,824.18 = 2,212.68 : x
  2. Step 2: Convert to fraction form
    2,767.63/3,824.18 = 2,212.68/x
  3. Step 3: Cross multiply
    2,767.63x = 3,824.18 × 2,212.68
  4. Step 4: Simplify right side
    2,767.63x = 8,461,692.13
  5. Step 5: Solve for x
    x = 8,461,692.13/2,767.63
  6. Step 6: Final answer
    x = 3,057.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.