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Finding the Fourth Proportional to 2,527.26, 3,791.61 and 884.22

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Solution

The fourth proportional to 2,527.26, 3,791.61 and 884.22 is: 1,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.26 : 3,791.61 = 884.22 : x
  2. Step 2: Convert to fraction form
    2,527.26/3,791.61 = 884.22/x
  3. Step 3: Cross multiply
    2,527.26x = 3,791.61 × 884.22
  4. Step 4: Simplify right side
    2,527.26x = 3,352,617.39
  5. Step 5: Solve for x
    x = 3,352,617.39/2,527.26
  6. Step 6: Final answer
    x = 1,326.58

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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.