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Finding the Fourth Proportional to 1,781.26, 2,673.07 and 1,342.82

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Solution

The fourth proportional to 1,781.26, 2,673.07 and 1,342.82 is: 2,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.26 : 2,673.07 = 1,342.82 : x
  2. Step 2: Convert to fraction form
    1,781.26/2,673.07 = 1,342.82/x
  3. Step 3: Cross multiply
    1,781.26x = 2,673.07 × 1,342.82
  4. Step 4: Simplify right side
    1,781.26x = 3,589,455.18
  5. Step 5: Solve for x
    x = 3,589,455.18/1,781.26
  6. Step 6: Final answer
    x = 2,015.12

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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.