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Finding the Fourth Proportional to 2,833.70, 4,251.16 and 1,189.30

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Solution

The fourth proportional to 2,833.70, 4,251.16 and 1,189.30 is: 1,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.70 : 4,251.16 = 1,189.30 : x
  2. Step 2: Convert to fraction form
    2,833.70/4,251.16 = 1,189.30/x
  3. Step 3: Cross multiply
    2,833.70x = 4,251.16 × 1,189.30
  4. Step 4: Simplify right side
    2,833.70x = 5,055,904.59
  5. Step 5: Solve for x
    x = 5,055,904.59/2,833.70
  6. Step 6: Final answer
    x = 1,784.21

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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.