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Finding the Fourth Proportional to 2,097.09, 3,144.62 and 781.04

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Solution

The fourth proportional to 2,097.09, 3,144.62 and 781.04 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.09 : 3,144.62 = 781.04 : x
  2. Step 2: Convert to fraction form
    2,097.09/3,144.62 = 781.04/x
  3. Step 3: Cross multiply
    2,097.09x = 3,144.62 × 781.04
  4. Step 4: Simplify right side
    2,097.09x = 2,456,083.82
  5. Step 5: Solve for x
    x = 2,456,083.82/2,097.09
  6. Step 6: Final answer
    x = 1,171.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.