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Finding the Fourth Proportional to 1,921.12, 2,883.96 and 1,842.88

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Solution

The fourth proportional to 1,921.12, 2,883.96 and 1,842.88 is: 2,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.12 : 2,883.96 = 1,842.88 : x
  2. Step 2: Convert to fraction form
    1,921.12/2,883.96 = 1,842.88/x
  3. Step 3: Cross multiply
    1,921.12x = 2,883.96 × 1,842.88
  4. Step 4: Simplify right side
    1,921.12x = 5,314,792.20
  5. Step 5: Solve for x
    x = 5,314,792.20/1,921.12
  6. Step 6: Final answer
    x = 2,766.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.