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Finding the Fourth Proportional to 2,781.36, 3,832.56 and 2,282.40

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Solution

The fourth proportional to 2,781.36, 3,832.56 and 2,282.40 is: 3,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.36 : 3,832.56 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    2,781.36/3,832.56 = 2,282.40/x
  3. Step 3: Cross multiply
    2,781.36x = 3,832.56 × 2,282.40
  4. Step 4: Simplify right side
    2,781.36x = 8,747,434.94
  5. Step 5: Solve for x
    x = 8,747,434.94/2,781.36
  6. Step 6: Final answer
    x = 3,145.02

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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.