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Finding the Fourth Proportional to 1,986.38, 2,964.96 and 1,728.20

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Solution

The fourth proportional to 1,986.38, 2,964.96 and 1,728.20 is: 2,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.38 : 2,964.96 = 1,728.20 : x
  2. Step 2: Convert to fraction form
    1,986.38/2,964.96 = 1,728.20/x
  3. Step 3: Cross multiply
    1,986.38x = 2,964.96 × 1,728.20
  4. Step 4: Simplify right side
    1,986.38x = 5,124,043.87
  5. Step 5: Solve for x
    x = 5,124,043.87/1,986.38
  6. Step 6: Final answer
    x = 2,579.59

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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.