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Finding the Fourth Proportional to 2,781.05, 3,837.95 and 1,661.87

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Solution

The fourth proportional to 2,781.05, 3,837.95 and 1,661.87 is: 2,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.05 : 3,837.95 = 1,661.87 : x
  2. Step 2: Convert to fraction form
    2,781.05/3,837.95 = 1,661.87/x
  3. Step 3: Cross multiply
    2,781.05x = 3,837.95 × 1,661.87
  4. Step 4: Simplify right side
    2,781.05x = 6,378,159.90
  5. Step 5: Solve for x
    x = 6,378,159.90/2,781.05
  6. Step 6: Final answer
    x = 2,293.44

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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.