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Finding the Fourth Proportional to 2,469.05, 3,700.94 and 1,083.14

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Solution

The fourth proportional to 2,469.05, 3,700.94 and 1,083.14 is: 1,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.05 : 3,700.94 = 1,083.14 : x
  2. Step 2: Convert to fraction form
    2,469.05/3,700.94 = 1,083.14/x
  3. Step 3: Cross multiply
    2,469.05x = 3,700.94 × 1,083.14
  4. Step 4: Simplify right side
    2,469.05x = 4,008,612.23
  5. Step 5: Solve for x
    x = 4,008,612.23/2,469.05
  6. Step 6: Final answer
    x = 1,623.55

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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.