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Finding the Fourth Proportional to 3,378.56, 5,067.78 and 1,070

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Solution

The fourth proportional to 3,378.56, 5,067.78 and 1,070 is: 1,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.56 : 5,067.78 = 1,070 : x
  2. Step 2: Convert to fraction form
    3,378.56/5,067.78 = 1,070/x
  3. Step 3: Cross multiply
    3,378.56x = 5,067.78 × 1,070
  4. Step 4: Simplify right side
    3,378.56x = 5,422,524.60
  5. Step 5: Solve for x
    x = 5,422,524.60/3,378.56
  6. Step 6: Final answer
    x = 1,604.98

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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.