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Finding the Fourth Proportional to 2,449.91, 3,675.48 and 1,062.91

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Solution

The fourth proportional to 2,449.91, 3,675.48 and 1,062.91 is: 1,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.91 : 3,675.48 = 1,062.91 : x
  2. Step 2: Convert to fraction form
    2,449.91/3,675.48 = 1,062.91/x
  3. Step 3: Cross multiply
    2,449.91x = 3,675.48 × 1,062.91
  4. Step 4: Simplify right side
    2,449.91x = 3,906,704.45
  5. Step 5: Solve for x
    x = 3,906,704.45/2,449.91
  6. Step 6: Final answer
    x = 1,594.63

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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.