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Finding the Fourth Proportional to 1,781.26, 2,684.04 and 1,463.74

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Solution

The fourth proportional to 1,781.26, 2,684.04 and 1,463.74 is: 2,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.26 : 2,684.04 = 1,463.74 : x
  2. Step 2: Convert to fraction form
    1,781.26/2,684.04 = 1,463.74/x
  3. Step 3: Cross multiply
    1,781.26x = 2,684.04 × 1,463.74
  4. Step 4: Simplify right side
    1,781.26x = 3,928,725.12
  5. Step 5: Solve for x
    x = 3,928,725.12/1,781.26
  6. Step 6: Final answer
    x = 2,205.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.