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Finding the Fourth Proportional to 2,986.56, 4,119.09 and 1,990.13

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Solution

The fourth proportional to 2,986.56, 4,119.09 and 1,990.13 is: 2,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.56 : 4,119.09 = 1,990.13 : x
  2. Step 2: Convert to fraction form
    2,986.56/4,119.09 = 1,990.13/x
  3. Step 3: Cross multiply
    2,986.56x = 4,119.09 × 1,990.13
  4. Step 4: Simplify right side
    2,986.56x = 8,197,503.99
  5. Step 5: Solve for x
    x = 8,197,503.99/2,986.56
  6. Step 6: Final answer
    x = 2,744.80

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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.