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Finding the Fourth Proportional to 3,446.30, 5,166.53 and 1,367.78

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Solution

The fourth proportional to 3,446.30, 5,166.53 and 1,367.78 is: 2,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.30 : 5,166.53 = 1,367.78 : x
  2. Step 2: Convert to fraction form
    3,446.30/5,166.53 = 1,367.78/x
  3. Step 3: Cross multiply
    3,446.30x = 5,166.53 × 1,367.78
  4. Step 4: Simplify right side
    3,446.30x = 7,066,648.86
  5. Step 5: Solve for x
    x = 7,066,648.86/3,446.30
  6. Step 6: Final answer
    x = 2,050.50

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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.