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Finding the Fourth Proportional to 2,791.59, 4,187.25 and 711.67

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Solution

The fourth proportional to 2,791.59, 4,187.25 and 711.67 is: 1,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.59 : 4,187.25 = 711.67 : x
  2. Step 2: Convert to fraction form
    2,791.59/4,187.25 = 711.67/x
  3. Step 3: Cross multiply
    2,791.59x = 4,187.25 × 711.67
  4. Step 4: Simplify right side
    2,791.59x = 2,979,940.21
  5. Step 5: Solve for x
    x = 2,979,940.21/2,791.59
  6. Step 6: Final answer
    x = 1,067.47

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1.5x scale

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.