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Finding the Fourth Proportional to 2,833.01, 4,251.18 and 1,189.43

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Solution

The fourth proportional to 2,833.01, 4,251.18 and 1,189.43 is: 1,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.01 : 4,251.18 = 1,189.43 : x
  2. Step 2: Convert to fraction form
    2,833.01/4,251.18 = 1,189.43/x
  3. Step 3: Cross multiply
    2,833.01x = 4,251.18 × 1,189.43
  4. Step 4: Simplify right side
    2,833.01x = 5,056,496.12
  5. Step 5: Solve for x
    x = 5,056,496.12/2,833.01
  6. Step 6: Final answer
    x = 1,784.85

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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.