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Finding the Fourth Proportional to 1,982.50, 2,958.83 and 1,760.56

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Solution

The fourth proportional to 1,982.50, 2,958.83 and 1,760.56 is: 2,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.50 : 2,958.83 = 1,760.56 : x
  2. Step 2: Convert to fraction form
    1,982.50/2,958.83 = 1,760.56/x
  3. Step 3: Cross multiply
    1,982.50x = 2,958.83 × 1,760.56
  4. Step 4: Simplify right side
    1,982.50x = 5,209,197.74
  5. Step 5: Solve for x
    x = 5,209,197.74/1,982.50
  6. Step 6: Final answer
    x = 2,627.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.