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Finding the Fourth Proportional to 3,078.05, 4,608.87 and 1,614.14

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Solution

The fourth proportional to 3,078.05, 4,608.87 and 1,614.14 is: 2,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.05 : 4,608.87 = 1,614.14 : x
  2. Step 2: Convert to fraction form
    3,078.05/4,608.87 = 1,614.14/x
  3. Step 3: Cross multiply
    3,078.05x = 4,608.87 × 1,614.14
  4. Step 4: Simplify right side
    3,078.05x = 7,439,338.38
  5. Step 5: Solve for x
    x = 7,439,338.38/3,078.05
  6. Step 6: Final answer
    x = 2,416.90

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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.