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Finding the Fourth Proportional to 2,000.14, 3,002.42 and 1,179.01

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Solution

The fourth proportional to 2,000.14, 3,002.42 and 1,179.01 is: 1,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.14 : 3,002.42 = 1,179.01 : x
  2. Step 2: Convert to fraction form
    2,000.14/3,002.42 = 1,179.01/x
  3. Step 3: Cross multiply
    2,000.14x = 3,002.42 × 1,179.01
  4. Step 4: Simplify right side
    2,000.14x = 3,539,866.38
  5. Step 5: Solve for x
    x = 3,539,866.38/2,000.14
  6. Step 6: Final answer
    x = 1,769.81

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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.