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Finding the Fourth Proportional to 3,172.26, 4,758.52 and 863.76

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Solution

The fourth proportional to 3,172.26, 4,758.52 and 863.76 is: 1,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.26 : 4,758.52 = 863.76 : x
  2. Step 2: Convert to fraction form
    3,172.26/4,758.52 = 863.76/x
  3. Step 3: Cross multiply
    3,172.26x = 4,758.52 × 863.76
  4. Step 4: Simplify right side
    3,172.26x = 4,110,219.24
  5. Step 5: Solve for x
    x = 4,110,219.24/3,172.26
  6. Step 6: Final answer
    x = 1,295.68

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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.