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Finding the Fourth Proportional to 2,446.14, 3,375.06 and 1,451.38

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Solution

The fourth proportional to 2,446.14, 3,375.06 and 1,451.38 is: 2,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.14 : 3,375.06 = 1,451.38 : x
  2. Step 2: Convert to fraction form
    2,446.14/3,375.06 = 1,451.38/x
  3. Step 3: Cross multiply
    2,446.14x = 3,375.06 × 1,451.38
  4. Step 4: Simplify right side
    2,446.14x = 4,898,494.58
  5. Step 5: Solve for x
    x = 4,898,494.58/2,446.14
  6. Step 6: Final answer
    x = 2,002.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.