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Finding the Fourth Proportional to 2,692, 3,716.66 and 2,195.84

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Solution

The fourth proportional to 2,692, 3,716.66 and 2,195.84 is: 3,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692 : 3,716.66 = 2,195.84 : x
  2. Step 2: Convert to fraction form
    2,692/3,716.66 = 2,195.84/x
  3. Step 3: Cross multiply
    2,692x = 3,716.66 × 2,195.84
  4. Step 4: Simplify right side
    2,692x = 8,161,190.69
  5. Step 5: Solve for x
    x = 8,161,190.69/2,692
  6. Step 6: Final answer
    x = 3,031.65

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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.