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Finding the Fourth Proportional to 2,448.82, 3,673.17 and 599.92

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Solution

The fourth proportional to 2,448.82, 3,673.17 and 599.92 is: 899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.82 : 3,673.17 = 599.92 : x
  2. Step 2: Convert to fraction form
    2,448.82/3,673.17 = 599.92/x
  3. Step 3: Cross multiply
    2,448.82x = 3,673.17 × 599.92
  4. Step 4: Simplify right side
    2,448.82x = 2,203,608.15
  5. Step 5: Solve for x
    x = 2,203,608.15/2,448.82
  6. Step 6: Final answer
    x = 899.87

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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.