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Finding the Fourth Proportional to 1,981.62, 2,735.07 and 1,097.73

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Solution

The fourth proportional to 1,981.62, 2,735.07 and 1,097.73 is: 1,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.62 : 2,735.07 = 1,097.73 : x
  2. Step 2: Convert to fraction form
    1,981.62/2,735.07 = 1,097.73/x
  3. Step 3: Cross multiply
    1,981.62x = 2,735.07 × 1,097.73
  4. Step 4: Simplify right side
    1,981.62x = 3,002,368.39
  5. Step 5: Solve for x
    x = 3,002,368.39/1,981.62
  6. Step 6: Final answer
    x = 1,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.