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Finding the Fourth Proportional to 1,892.76, 2,833.66 and 1,200.21

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Solution

The fourth proportional to 1,892.76, 2,833.66 and 1,200.21 is: 1,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.76 : 2,833.66 = 1,200.21 : x
  2. Step 2: Convert to fraction form
    1,892.76/2,833.66 = 1,200.21/x
  3. Step 3: Cross multiply
    1,892.76x = 2,833.66 × 1,200.21
  4. Step 4: Simplify right side
    1,892.76x = 3,400,987.07
  5. Step 5: Solve for x
    x = 3,400,987.07/1,892.76
  6. Step 6: Final answer
    x = 1,796.84

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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.