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Finding the Fourth Proportional to 2,004.58, 2,999.31 and 1,183.30

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Solution

The fourth proportional to 2,004.58, 2,999.31 and 1,183.30 is: 1,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.58 : 2,999.31 = 1,183.30 : x
  2. Step 2: Convert to fraction form
    2,004.58/2,999.31 = 1,183.30/x
  3. Step 3: Cross multiply
    2,004.58x = 2,999.31 × 1,183.30
  4. Step 4: Simplify right side
    2,004.58x = 3,549,083.52
  5. Step 5: Solve for x
    x = 3,549,083.52/2,004.58
  6. Step 6: Final answer
    x = 1,770.49

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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.