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Finding the Fourth Proportional to 2,449.01, 3,379.10 and 1,454.62

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Solution

The fourth proportional to 2,449.01, 3,379.10 and 1,454.62 is: 2,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.01 : 3,379.10 = 1,454.62 : x
  2. Step 2: Convert to fraction form
    2,449.01/3,379.10 = 1,454.62/x
  3. Step 3: Cross multiply
    2,449.01x = 3,379.10 × 1,454.62
  4. Step 4: Simplify right side
    2,449.01x = 4,915,310.08
  5. Step 5: Solve for x
    x = 4,915,310.08/2,449.01
  6. Step 6: Final answer
    x = 2,007.06

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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.