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Finding the Fourth Proportional to 2,826.48, 3,874.80 and 2,781.12

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Solution

The fourth proportional to 2,826.48, 3,874.80 and 2,781.12 is: 3,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.48 : 3,874.80 = 2,781.12 : x
  2. Step 2: Convert to fraction form
    2,826.48/3,874.80 = 2,781.12/x
  3. Step 3: Cross multiply
    2,826.48x = 3,874.80 × 2,781.12
  4. Step 4: Simplify right side
    2,826.48x = 10,776,283.78
  5. Step 5: Solve for x
    x = 10,776,283.78/2,826.48
  6. Step 6: Final answer
    x = 3,812.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.