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Finding the Fourth Proportional to 2,187.92, 3,279.15 and 1,311.09

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Solution

The fourth proportional to 2,187.92, 3,279.15 and 1,311.09 is: 1,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.92 : 3,279.15 = 1,311.09 : x
  2. Step 2: Convert to fraction form
    2,187.92/3,279.15 = 1,311.09/x
  3. Step 3: Cross multiply
    2,187.92x = 3,279.15 × 1,311.09
  4. Step 4: Simplify right side
    2,187.92x = 4,299,260.77
  5. Step 5: Solve for x
    x = 4,299,260.77/2,187.92
  6. Step 6: Final answer
    x = 1,965.00

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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.