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Finding the Fourth Proportional to 2,744.22, 3,781.11 and 1,858.47

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Solution

The fourth proportional to 2,744.22, 3,781.11 and 1,858.47 is: 2,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.22 : 3,781.11 = 1,858.47 : x
  2. Step 2: Convert to fraction form
    2,744.22/3,781.11 = 1,858.47/x
  3. Step 3: Cross multiply
    2,744.22x = 3,781.11 × 1,858.47
  4. Step 4: Simplify right side
    2,744.22x = 7,027,079.50
  5. Step 5: Solve for x
    x = 7,027,079.50/2,744.22
  6. Step 6: Final answer
    x = 2,560.68

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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.