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Finding the Fourth Proportional to 2,305.91, 3,182.45 and 1,311.54

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Solution

The fourth proportional to 2,305.91, 3,182.45 and 1,311.54 is: 1,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.91 : 3,182.45 = 1,311.54 : x
  2. Step 2: Convert to fraction form
    2,305.91/3,182.45 = 1,311.54/x
  3. Step 3: Cross multiply
    2,305.91x = 3,182.45 × 1,311.54
  4. Step 4: Simplify right side
    2,305.91x = 4,173,903.92
  5. Step 5: Solve for x
    x = 4,173,903.92/2,305.91
  6. Step 6: Final answer
    x = 1,810.09

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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.