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Finding the Fourth Proportional to 2,818.56, 3,892.80 and 2,380.16

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Solution

The fourth proportional to 2,818.56, 3,892.80 and 2,380.16 is: 3,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.56 : 3,892.80 = 2,380.16 : x
  2. Step 2: Convert to fraction form
    2,818.56/3,892.80 = 2,380.16/x
  3. Step 3: Cross multiply
    2,818.56x = 3,892.80 × 2,380.16
  4. Step 4: Simplify right side
    2,818.56x = 9,265,486.85
  5. Step 5: Solve for x
    x = 9,265,486.85/2,818.56
  6. Step 6: Final answer
    x = 3,287.31

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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.