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Finding the Fourth Proportional to 2,007.89, 3,008.72 and 1,392.80

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Solution

The fourth proportional to 2,007.89, 3,008.72 and 1,392.80 is: 2,087.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.89 : 3,008.72 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    2,007.89/3,008.72 = 1,392.80/x
  3. Step 3: Cross multiply
    2,007.89x = 3,008.72 × 1,392.80
  4. Step 4: Simplify right side
    2,007.89x = 4,190,523.21
  5. Step 5: Solve for x
    x = 4,190,523.21/2,007.89
  6. Step 6: Final answer
    x = 2,087.03

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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.