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Finding the Fourth Proportional to 2,780.64, 3,842.40 and 1,993.44

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Solution

The fourth proportional to 2,780.64, 3,842.40 and 1,993.44 is: 2,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.64 : 3,842.40 = 1,993.44 : x
  2. Step 2: Convert to fraction form
    2,780.64/3,842.40 = 1,993.44/x
  3. Step 3: Cross multiply
    2,780.64x = 3,842.40 × 1,993.44
  4. Step 4: Simplify right side
    2,780.64x = 7,659,593.86
  5. Step 5: Solve for x
    x = 7,659,593.86/2,780.64
  6. Step 6: Final answer
    x = 2,754.62

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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.