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Finding the Fourth Proportional to 2,781.57, 3,838.83 and 1,662.33

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Solution

The fourth proportional to 2,781.57, 3,838.83 and 1,662.33 is: 2,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.57 : 3,838.83 = 1,662.33 : x
  2. Step 2: Convert to fraction form
    2,781.57/3,838.83 = 1,662.33/x
  3. Step 3: Cross multiply
    2,781.57x = 3,838.83 × 1,662.33
  4. Step 4: Simplify right side
    2,781.57x = 6,381,402.27
  5. Step 5: Solve for x
    x = 6,381,402.27/2,781.57
  6. Step 6: Final answer
    x = 2,294.17

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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.