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Finding the Fourth Proportional to 2,850.56, 4,277.40 and 1,983.20

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Solution

The fourth proportional to 2,850.56, 4,277.40 and 1,983.20 is: 2,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.56 : 4,277.40 = 1,983.20 : x
  2. Step 2: Convert to fraction form
    2,850.56/4,277.40 = 1,983.20/x
  3. Step 3: Cross multiply
    2,850.56x = 4,277.40 × 1,983.20
  4. Step 4: Simplify right side
    2,850.56x = 8,482,939.68
  5. Step 5: Solve for x
    x = 8,482,939.68/2,850.56
  6. Step 6: Final answer
    x = 2,975.89

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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.