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Finding the Fourth Proportional to 2,843.56, 3,926.05 and 1,781.77

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Solution

The fourth proportional to 2,843.56, 3,926.05 and 1,781.77 is: 2,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.56 : 3,926.05 = 1,781.77 : x
  2. Step 2: Convert to fraction form
    2,843.56/3,926.05 = 1,781.77/x
  3. Step 3: Cross multiply
    2,843.56x = 3,926.05 × 1,781.77
  4. Step 4: Simplify right side
    2,843.56x = 6,995,318.11
  5. Step 5: Solve for x
    x = 6,995,318.11/2,843.56
  6. Step 6: Final answer
    x = 2,460.06

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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.