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Finding the Fourth Proportional to 1,343.27, 1,863.83 and 1,305

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Solution

The fourth proportional to 1,343.27, 1,863.83 and 1,305 is: 1,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.27 : 1,863.83 = 1,305 : x
  2. Step 2: Convert to fraction form
    1,343.27/1,863.83 = 1,305/x
  3. Step 3: Cross multiply
    1,343.27x = 1,863.83 × 1,305
  4. Step 4: Simplify right side
    1,343.27x = 2,432,301.41
  5. Step 5: Solve for x
    x = 2,432,301.41/1,343.27
  6. Step 6: Final answer
    x = 1,810.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.