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Finding the Fourth Proportional to 2,763.75, 3,817.22 and 1,830.63

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Solution

The fourth proportional to 2,763.75, 3,817.22 and 1,830.63 is: 2,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.75 : 3,817.22 = 1,830.63 : x
  2. Step 2: Convert to fraction form
    2,763.75/3,817.22 = 1,830.63/x
  3. Step 3: Cross multiply
    2,763.75x = 3,817.22 × 1,830.63
  4. Step 4: Simplify right side
    2,763.75x = 6,987,908.30
  5. Step 5: Solve for x
    x = 6,987,908.30/2,763.75
  6. Step 6: Final answer
    x = 2,528.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.