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Finding the Fourth Proportional to 2,496.57, 3,744.67 and 854.27

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Solution

The fourth proportional to 2,496.57, 3,744.67 and 854.27 is: 1,281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.57 : 3,744.67 = 854.27 : x
  2. Step 2: Convert to fraction form
    2,496.57/3,744.67 = 854.27/x
  3. Step 3: Cross multiply
    2,496.57x = 3,744.67 × 854.27
  4. Step 4: Simplify right side
    2,496.57x = 3,198,959.24
  5. Step 5: Solve for x
    x = 3,198,959.24/2,496.57
  6. Step 6: Final answer
    x = 1,281.34

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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.