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Finding the Fourth Proportional to 2,306.97, 3,183.84 and 1,312.47

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Solution

The fourth proportional to 2,306.97, 3,183.84 and 1,312.47 is: 1,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.97 : 3,183.84 = 1,312.47 : x
  2. Step 2: Convert to fraction form
    2,306.97/3,183.84 = 1,312.47/x
  3. Step 3: Cross multiply
    2,306.97x = 3,183.84 × 1,312.47
  4. Step 4: Simplify right side
    2,306.97x = 4,178,694.48
  5. Step 5: Solve for x
    x = 4,178,694.48/2,306.97
  6. Step 6: Final answer
    x = 1,811.33

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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.