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Finding the Fourth Proportional to 3,446.70, 5,168.82 and 1,498.44

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Solution

The fourth proportional to 3,446.70, 5,168.82 and 1,498.44 is: 2,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.70 : 5,168.82 = 1,498.44 : x
  2. Step 2: Convert to fraction form
    3,446.70/5,168.82 = 1,498.44/x
  3. Step 3: Cross multiply
    3,446.70x = 5,168.82 × 1,498.44
  4. Step 4: Simplify right side
    3,446.70x = 7,745,166.64
  5. Step 5: Solve for x
    x = 7,745,166.64/3,446.70
  6. Step 6: Final answer
    x = 2,247.13

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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.