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Finding the Fourth Proportional to 1,989.80, 2,986.62 and 1,016.60

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Solution

The fourth proportional to 1,989.80, 2,986.62 and 1,016.60 is: 1,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.80 : 2,986.62 = 1,016.60 : x
  2. Step 2: Convert to fraction form
    1,989.80/2,986.62 = 1,016.60/x
  3. Step 3: Cross multiply
    1,989.80x = 2,986.62 × 1,016.60
  4. Step 4: Simplify right side
    1,989.80x = 3,036,197.89
  5. Step 5: Solve for x
    x = 3,036,197.89/1,989.80
  6. Step 6: Final answer
    x = 1,525.88

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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.