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Finding the Fourth Proportional to 1,981.97, 2,735.15 and 1,097.81

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Solution

The fourth proportional to 1,981.97, 2,735.15 and 1,097.81 is: 1,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 2,735.15 = 1,097.81 : x
  2. Step 2: Convert to fraction form
    1,981.97/2,735.15 = 1,097.81/x
  3. Step 3: Cross multiply
    1,981.97x = 2,735.15 × 1,097.81
  4. Step 4: Simplify right side
    1,981.97x = 3,002,675.02
  5. Step 5: Solve for x
    x = 3,002,675.02/1,981.97
  6. Step 6: Final answer
    x = 1,515.00

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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.