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Finding the Fourth Proportional to 2,769.86, 4,155.02 and 1,382.28

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Solution

The fourth proportional to 2,769.86, 4,155.02 and 1,382.28 is: 2,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.86 : 4,155.02 = 1,382.28 : x
  2. Step 2: Convert to fraction form
    2,769.86/4,155.02 = 1,382.28/x
  3. Step 3: Cross multiply
    2,769.86x = 4,155.02 × 1,382.28
  4. Step 4: Simplify right side
    2,769.86x = 5,743,401.05
  5. Step 5: Solve for x
    x = 5,743,401.05/2,769.86
  6. Step 6: Final answer
    x = 2,073.53

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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.