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Finding the Fourth Proportional to 2,767.61, 3,824.16 and 2,212.66

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Solution

The fourth proportional to 2,767.61, 3,824.16 and 2,212.66 is: 3,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.61 : 3,824.16 = 2,212.66 : x
  2. Step 2: Convert to fraction form
    2,767.61/3,824.16 = 2,212.66/x
  3. Step 3: Cross multiply
    2,767.61x = 3,824.16 × 2,212.66
  4. Step 4: Simplify right side
    2,767.61x = 8,461,546.74
  5. Step 5: Solve for x
    x = 8,461,546.74/2,767.61
  6. Step 6: Final answer
    x = 3,057.35

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