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Finding the Fourth Proportional to 2,765.88, 3,816.72 and 1,983.42

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Solution

The fourth proportional to 2,765.88, 3,816.72 and 1,983.42 is: 2,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.88 : 3,816.72 = 1,983.42 : x
  2. Step 2: Convert to fraction form
    2,765.88/3,816.72 = 1,983.42/x
  3. Step 3: Cross multiply
    2,765.88x = 3,816.72 × 1,983.42
  4. Step 4: Simplify right side
    2,765.88x = 7,570,158.78
  5. Step 5: Solve for x
    x = 7,570,158.78/2,765.88
  6. Step 6: Final answer
    x = 2,736.98

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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.