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Finding the Fourth Proportional to 3,440.49, 5,160.73 and 843.42

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Solution

The fourth proportional to 3,440.49, 5,160.73 and 843.42 is: 1,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.49 : 5,160.73 = 843.42 : x
  2. Step 2: Convert to fraction form
    3,440.49/5,160.73 = 843.42/x
  3. Step 3: Cross multiply
    3,440.49x = 5,160.73 × 843.42
  4. Step 4: Simplify right side
    3,440.49x = 4,352,680.14
  5. Step 5: Solve for x
    x = 4,352,680.14/3,440.49
  6. Step 6: Final answer
    x = 1,265.14

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Similar ratio
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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.