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Finding the Fourth Proportional to 2,791.88, 3,852.22 and 1,657.34

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Solution

The fourth proportional to 2,791.88, 3,852.22 and 1,657.34 is: 2,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.88 : 3,852.22 = 1,657.34 : x
  2. Step 2: Convert to fraction form
    2,791.88/3,852.22 = 1,657.34/x
  3. Step 3: Cross multiply
    2,791.88x = 3,852.22 × 1,657.34
  4. Step 4: Simplify right side
    2,791.88x = 6,384,438.29
  5. Step 5: Solve for x
    x = 6,384,438.29/2,791.88
  6. Step 6: Final answer
    x = 2,286.79

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1.5x scale

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.