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Finding the Fourth Proportional to 2,670.14, 3,998.39 and 1,850.02

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Solution

The fourth proportional to 2,670.14, 3,998.39 and 1,850.02 is: 2,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.14 : 3,998.39 = 1,850.02 : x
  2. Step 2: Convert to fraction form
    2,670.14/3,998.39 = 1,850.02/x
  3. Step 3: Cross multiply
    2,670.14x = 3,998.39 × 1,850.02
  4. Step 4: Simplify right side
    2,670.14x = 7,397,082.22
  5. Step 5: Solve for x
    x = 7,397,082.22/2,670.14
  6. Step 6: Final answer
    x = 2,770.29

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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.