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Finding the Fourth Proportional to 1,981.24, 2,734 and 1,096.99

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Solution

The fourth proportional to 1,981.24, 2,734 and 1,096.99 is: 1,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.24 : 2,734 = 1,096.99 : x
  2. Step 2: Convert to fraction form
    1,981.24/2,734 = 1,096.99/x
  3. Step 3: Cross multiply
    1,981.24x = 2,734 × 1,096.99
  4. Step 4: Simplify right side
    1,981.24x = 2,999,170.66
  5. Step 5: Solve for x
    x = 2,999,170.66/1,981.24
  6. Step 6: Final answer
    x = 1,513.78

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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.