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Finding the Fourth Proportional to 1,878.96, 2,794.57 and 1,842.12

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Solution

The fourth proportional to 1,878.96, 2,794.57 and 1,842.12 is: 2,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.96 : 2,794.57 = 1,842.12 : x
  2. Step 2: Convert to fraction form
    1,878.96/2,794.57 = 1,842.12/x
  3. Step 3: Cross multiply
    1,878.96x = 2,794.57 × 1,842.12
  4. Step 4: Simplify right side
    1,878.96x = 5,147,933.29
  5. Step 5: Solve for x
    x = 5,147,933.29/1,878.96
  6. Step 6: Final answer
    x = 2,739.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.