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Finding the Fourth Proportional to 2,781.73, 3,838.91 and 1,602.97

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Solution

The fourth proportional to 2,781.73, 3,838.91 and 1,602.97 is: 2,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.73 : 3,838.91 = 1,602.97 : x
  2. Step 2: Convert to fraction form
    2,781.73/3,838.91 = 1,602.97/x
  3. Step 3: Cross multiply
    2,781.73x = 3,838.91 × 1,602.97
  4. Step 4: Simplify right side
    2,781.73x = 6,153,657.56
  5. Step 5: Solve for x
    x = 6,153,657.56/2,781.73
  6. Step 6: Final answer
    x = 2,212.17

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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.