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Finding the Fourth Proportional to 2,763.89, 4,145.84 and 1,119.31

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Solution

The fourth proportional to 2,763.89, 4,145.84 and 1,119.31 is: 1,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.89 : 4,145.84 = 1,119.31 : x
  2. Step 2: Convert to fraction form
    2,763.89/4,145.84 = 1,119.31/x
  3. Step 3: Cross multiply
    2,763.89x = 4,145.84 × 1,119.31
  4. Step 4: Simplify right side
    2,763.89x = 4,640,480.17
  5. Step 5: Solve for x
    x = 4,640,480.17/2,763.89
  6. Step 6: Final answer
    x = 1,678.97

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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.