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Finding the Fourth Proportional to 1,981.69, 2,735.09 and 1,273.75

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Solution

The fourth proportional to 1,981.69, 2,735.09 and 1,273.75 is: 1,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.69 : 2,735.09 = 1,273.75 : x
  2. Step 2: Convert to fraction form
    1,981.69/2,735.09 = 1,273.75/x
  3. Step 3: Cross multiply
    1,981.69x = 2,735.09 × 1,273.75
  4. Step 4: Simplify right side
    1,981.69x = 3,483,812.46
  5. Step 5: Solve for x
    x = 3,483,812.46/1,981.69
  6. Step 6: Final answer
    x = 1,758.00

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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.