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Finding the Fourth Proportional to 2,630.82, 3,946.26 and 683.04

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Solution

The fourth proportional to 2,630.82, 3,946.26 and 683.04 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.82 : 3,946.26 = 683.04 : x
  2. Step 2: Convert to fraction form
    2,630.82/3,946.26 = 683.04/x
  3. Step 3: Cross multiply
    2,630.82x = 3,946.26 × 683.04
  4. Step 4: Simplify right side
    2,630.82x = 2,695,453.43
  5. Step 5: Solve for x
    x = 2,695,453.43/2,630.82
  6. Step 6: Final answer
    x = 1,024.57

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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.