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Finding the Fourth Proportional to 2,874.25, 4,310.39 and 1,119.11

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Solution

The fourth proportional to 2,874.25, 4,310.39 and 1,119.11 is: 1,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.25 : 4,310.39 = 1,119.11 : x
  2. Step 2: Convert to fraction form
    2,874.25/4,310.39 = 1,119.11/x
  3. Step 3: Cross multiply
    2,874.25x = 4,310.39 × 1,119.11
  4. Step 4: Simplify right side
    2,874.25x = 4,823,800.55
  5. Step 5: Solve for x
    x = 4,823,800.55/2,874.25
  6. Step 6: Final answer
    x = 1,678.28

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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.