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Finding the Fourth Proportional to 3,391.59, 5,081.04 and 2,000.78

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Solution

The fourth proportional to 3,391.59, 5,081.04 and 2,000.78 is: 2,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.59 : 5,081.04 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    3,391.59/5,081.04 = 2,000.78/x
  3. Step 3: Cross multiply
    3,391.59x = 5,081.04 × 2,000.78
  4. Step 4: Simplify right side
    3,391.59x = 10,166,017.81
  5. Step 5: Solve for x
    x = 10,166,017.81/3,391.59
  6. Step 6: Final answer
    x = 2,997.42

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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.