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Finding the Fourth Proportional to 2,781.80, 3,837.60 and 1,885.22

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Solution

The fourth proportional to 2,781.80, 3,837.60 and 1,885.22 is: 2,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.80 : 3,837.60 = 1,885.22 : x
  2. Step 2: Convert to fraction form
    2,781.80/3,837.60 = 1,885.22/x
  3. Step 3: Cross multiply
    2,781.80x = 3,837.60 × 1,885.22
  4. Step 4: Simplify right side
    2,781.80x = 7,234,701.08
  5. Step 5: Solve for x
    x = 7,234,701.08/2,781.80
  6. Step 6: Final answer
    x = 2,600.73

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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.