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Finding the Fourth Proportional to 2,863.26, 4,295.30 and 914.81

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Solution

The fourth proportional to 2,863.26, 4,295.30 and 914.81 is: 1,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.26 : 4,295.30 = 914.81 : x
  2. Step 2: Convert to fraction form
    2,863.26/4,295.30 = 914.81/x
  3. Step 3: Cross multiply
    2,863.26x = 4,295.30 × 914.81
  4. Step 4: Simplify right side
    2,863.26x = 3,929,357.34
  5. Step 5: Solve for x
    x = 3,929,357.34/2,863.26
  6. Step 6: Final answer
    x = 1,372.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.