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Finding the Fourth Proportional to 3,236.26, 4,854.43 and 927.76

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Solution

The fourth proportional to 3,236.26, 4,854.43 and 927.76 is: 1,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.26 : 4,854.43 = 927.76 : x
  2. Step 2: Convert to fraction form
    3,236.26/4,854.43 = 927.76/x
  3. Step 3: Cross multiply
    3,236.26x = 4,854.43 × 927.76
  4. Step 4: Simplify right side
    3,236.26x = 4,503,745.98
  5. Step 5: Solve for x
    x = 4,503,745.98/3,236.26
  6. Step 6: Final answer
    x = 1,391.65

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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.