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Finding the Fourth Proportional to 1,848.45, 2,771.20 and 1,067.57

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Solution

The fourth proportional to 1,848.45, 2,771.20 and 1,067.57 is: 1,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.45 : 2,771.20 = 1,067.57 : x
  2. Step 2: Convert to fraction form
    1,848.45/2,771.20 = 1,067.57/x
  3. Step 3: Cross multiply
    1,848.45x = 2,771.20 × 1,067.57
  4. Step 4: Simplify right side
    1,848.45x = 2,958,438.80
  5. Step 5: Solve for x
    x = 2,958,438.80/1,848.45
  6. Step 6: Final answer
    x = 1,600.50

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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.