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Finding the Fourth Proportional to 4,002.69, 6,004.68 and 1,229.07

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Solution

The fourth proportional to 4,002.69, 6,004.68 and 1,229.07 is: 1,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.69 : 6,004.68 = 1,229.07 : x
  2. Step 2: Convert to fraction form
    4,002.69/6,004.68 = 1,229.07/x
  3. Step 3: Cross multiply
    4,002.69x = 6,004.68 × 1,229.07
  4. Step 4: Simplify right side
    4,002.69x = 7,380,172.05
  5. Step 5: Solve for x
    x = 7,380,172.05/4,002.69
  6. Step 6: Final answer
    x = 1,843.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.