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Finding the Fourth Proportional to 2,763.80, 4,145.70 and 1,824.20

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Solution

The fourth proportional to 2,763.80, 4,145.70 and 1,824.20 is: 2,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.80 : 4,145.70 = 1,824.20 : x
  2. Step 2: Convert to fraction form
    2,763.80/4,145.70 = 1,824.20/x
  3. Step 3: Cross multiply
    2,763.80x = 4,145.70 × 1,824.20
  4. Step 4: Simplify right side
    2,763.80x = 7,562,585.94
  5. Step 5: Solve for x
    x = 7,562,585.94/2,763.80
  6. Step 6: Final answer
    x = 2,736.30

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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.