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Finding the Fourth Proportional to 2,431.26, 3,647.42 and 892.26

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Solution

The fourth proportional to 2,431.26, 3,647.42 and 892.26 is: 1,338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.26 : 3,647.42 = 892.26 : x
  2. Step 2: Convert to fraction form
    2,431.26/3,647.42 = 892.26/x
  3. Step 3: Cross multiply
    2,431.26x = 3,647.42 × 892.26
  4. Step 4: Simplify right side
    2,431.26x = 3,254,446.97
  5. Step 5: Solve for x
    x = 3,254,446.97/2,431.26
  6. Step 6: Final answer
    x = 1,338.58

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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.