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Finding the Fourth Proportional to 2,449.48, 3,673.80 and 806.04

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Solution

The fourth proportional to 2,449.48, 3,673.80 and 806.04 is: 1,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.48 : 3,673.80 = 806.04 : x
  2. Step 2: Convert to fraction form
    2,449.48/3,673.80 = 806.04/x
  3. Step 3: Cross multiply
    2,449.48x = 3,673.80 × 806.04
  4. Step 4: Simplify right side
    2,449.48x = 2,961,211.38
  5. Step 5: Solve for x
    x = 2,961,211.38/2,449.48
  6. Step 6: Final answer
    x = 1,208.91

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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.