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Finding the Fourth Proportional to 1,991.84, 2,986.61 and 675.15

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Solution

The fourth proportional to 1,991.84, 2,986.61 and 675.15 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.84 : 2,986.61 = 675.15 : x
  2. Step 2: Convert to fraction form
    1,991.84/2,986.61 = 675.15/x
  3. Step 3: Cross multiply
    1,991.84x = 2,986.61 × 675.15
  4. Step 4: Simplify right side
    1,991.84x = 2,016,406.37
  5. Step 5: Solve for x
    x = 2,016,406.37/1,991.84
  6. Step 6: Final answer
    x = 1,012.34

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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.