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Finding the Fourth Proportional to 2,820.86, 3,892.05 and 1,824.56

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Solution

The fourth proportional to 2,820.86, 3,892.05 and 1,824.56 is: 2,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.86 : 3,892.05 = 1,824.56 : x
  2. Step 2: Convert to fraction form
    2,820.86/3,892.05 = 1,824.56/x
  3. Step 3: Cross multiply
    2,820.86x = 3,892.05 × 1,824.56
  4. Step 4: Simplify right side
    2,820.86x = 7,101,278.75
  5. Step 5: Solve for x
    x = 7,101,278.75/2,820.86
  6. Step 6: Final answer
    x = 2,517.42

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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.