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Finding the Fourth Proportional to 2,305.81, 3,182.18 and 1,311.16

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Solution

The fourth proportional to 2,305.81, 3,182.18 and 1,311.16 is: 1,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.81 : 3,182.18 = 1,311.16 : x
  2. Step 2: Convert to fraction form
    2,305.81/3,182.18 = 1,311.16/x
  3. Step 3: Cross multiply
    2,305.81x = 3,182.18 × 1,311.16
  4. Step 4: Simplify right side
    2,305.81x = 4,172,340.57
  5. Step 5: Solve for x
    x = 4,172,340.57/2,305.81
  6. Step 6: Final answer
    x = 1,809.49

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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.