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Finding the Fourth Proportional to 1,991.28, 2,981.76 and 1,017.84

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Solution

The fourth proportional to 1,991.28, 2,981.76 and 1,017.84 is: 1,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.28 : 2,981.76 = 1,017.84 : x
  2. Step 2: Convert to fraction form
    1,991.28/2,981.76 = 1,017.84/x
  3. Step 3: Cross multiply
    1,991.28x = 2,981.76 × 1,017.84
  4. Step 4: Simplify right side
    1,991.28x = 3,034,954.60
  5. Step 5: Solve for x
    x = 3,034,954.60/1,991.28
  6. Step 6: Final answer
    x = 1,524.12

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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.