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Finding the Fourth Proportional to 2,763.87, 3,817.22 and 1,878.14

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Solution

The fourth proportional to 2,763.87, 3,817.22 and 1,878.14 is: 2,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.87 : 3,817.22 = 1,878.14 : x
  2. Step 2: Convert to fraction form
    2,763.87/3,817.22 = 1,878.14/x
  3. Step 3: Cross multiply
    2,763.87x = 3,817.22 × 1,878.14
  4. Step 4: Simplify right side
    2,763.87x = 7,169,245.09
  5. Step 5: Solve for x
    x = 7,169,245.09/2,763.87
  6. Step 6: Final answer
    x = 2,593.92

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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.