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Finding the Fourth Proportional to 1,981.73, 2,733.93 and 1,318.79

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Solution

The fourth proportional to 1,981.73, 2,733.93 and 1,318.79 is: 1,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.73 : 2,733.93 = 1,318.79 : x
  2. Step 2: Convert to fraction form
    1,981.73/2,733.93 = 1,318.79/x
  3. Step 3: Cross multiply
    1,981.73x = 2,733.93 × 1,318.79
  4. Step 4: Simplify right side
    1,981.73x = 3,605,486.38
  5. Step 5: Solve for x
    x = 3,605,486.38/1,981.73
  6. Step 6: Final answer
    x = 1,819.36

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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.