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Finding the Fourth Proportional to 2,305.48, 3,182.24 and 1,311.31

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Solution

The fourth proportional to 2,305.48, 3,182.24 and 1,311.31 is: 1,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.48 : 3,182.24 = 1,311.31 : x
  2. Step 2: Convert to fraction form
    2,305.48/3,182.24 = 1,311.31/x
  3. Step 3: Cross multiply
    2,305.48x = 3,182.24 × 1,311.31
  4. Step 4: Simplify right side
    2,305.48x = 4,172,903.13
  5. Step 5: Solve for x
    x = 4,172,903.13/2,305.48
  6. Step 6: Final answer
    x = 1,809.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.