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Finding the Fourth Proportional to 2,865.28, 4,296.42 and 917.23

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Solution

The fourth proportional to 2,865.28, 4,296.42 and 917.23 is: 1,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.28 : 4,296.42 = 917.23 : x
  2. Step 2: Convert to fraction form
    2,865.28/4,296.42 = 917.23/x
  3. Step 3: Cross multiply
    2,865.28x = 4,296.42 × 917.23
  4. Step 4: Simplify right side
    2,865.28x = 3,940,805.32
  5. Step 5: Solve for x
    x = 3,940,805.32/2,865.28
  6. Step 6: Final answer
    x = 1,375.36

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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.